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Finding the Fourth Proportional to 5,509.99, 8,305.65 and 5,188.49

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Solution

The fourth proportional to 5,509.99, 8,305.65 and 5,188.49 is: 7,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.99 : 8,305.65 = 5,188.49 : x
  2. Step 2: Convert to fraction form
    5,509.99/8,305.65 = 5,188.49/x
  3. Step 3: Cross multiply
    5,509.99x = 8,305.65 × 5,188.49
  4. Step 4: Simplify right side
    5,509.99x = 43,093,728.53
  5. Step 5: Solve for x
    x = 43,093,728.53/5,509.99
  6. Step 6: Final answer
    x = 7,821.02

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.