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Finding the Fourth Proportional to 5,509.83, 7,613.42 and 4,099.21

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Solution

The fourth proportional to 5,509.83, 7,613.42 and 4,099.21 is: 5,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.83 : 7,613.42 = 4,099.21 : x
  2. Step 2: Convert to fraction form
    5,509.83/7,613.42 = 4,099.21/x
  3. Step 3: Cross multiply
    5,509.83x = 7,613.42 × 4,099.21
  4. Step 4: Simplify right side
    5,509.83x = 31,209,007.40
  5. Step 5: Solve for x
    x = 31,209,007.40/5,509.83
  6. Step 6: Final answer
    x = 5,664.24

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.