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Finding the Fourth Proportional to 5,805.20, 8,009 and 4,551.12

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Solution

The fourth proportional to 5,805.20, 8,009 and 4,551.12 is: 6,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.20 : 8,009 = 4,551.12 : x
  2. Step 2: Convert to fraction form
    5,805.20/8,009 = 4,551.12/x
  3. Step 3: Cross multiply
    5,805.20x = 8,009 × 4,551.12
  4. Step 4: Simplify right side
    5,805.20x = 36,449,920.08
  5. Step 5: Solve for x
    x = 36,449,920.08/5,805.20
  6. Step 6: Final answer
    x = 6,278.84

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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.