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Finding the Fourth Proportional to 25,355, 38,005.66 and 9,553.16

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Solution

The fourth proportional to 25,355, 38,005.66 and 9,553.16 is: 14,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355 : 38,005.66 = 9,553.16 : x
  2. Step 2: Convert to fraction form
    25,355/38,005.66 = 9,553.16/x
  3. Step 3: Cross multiply
    25,355x = 38,005.66 × 9,553.16
  4. Step 4: Simplify right side
    25,355x = 363,074,150.89
  5. Step 5: Solve for x
    x = 363,074,150.89/25,355
  6. Step 6: Final answer
    x = 14,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.