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Finding the Fourth Proportional to 5,553.60, 7,662 and 3,565.23

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Solution

The fourth proportional to 5,553.60, 7,662 and 3,565.23 is: 4,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.60 : 7,662 = 3,565.23 : x
  2. Step 2: Convert to fraction form
    5,553.60/7,662 = 3,565.23/x
  3. Step 3: Cross multiply
    5,553.60x = 7,662 × 3,565.23
  4. Step 4: Simplify right side
    5,553.60x = 27,316,792.26
  5. Step 5: Solve for x
    x = 27,316,792.26/5,553.60
  6. Step 6: Final answer
    x = 4,918.75

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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.