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Finding the Fourth Proportional to 10,355.92, 15,503.94 and 9,287.60

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Solution

The fourth proportional to 10,355.92, 15,503.94 and 9,287.60 is: 13,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.92 : 15,503.94 = 9,287.60 : x
  2. Step 2: Convert to fraction form
    10,355.92/15,503.94 = 9,287.60/x
  3. Step 3: Cross multiply
    10,355.92x = 15,503.94 × 9,287.60
  4. Step 4: Simplify right side
    10,355.92x = 143,994,393.14
  5. Step 5: Solve for x
    x = 143,994,393.14/10,355.92
  6. Step 6: Final answer
    x = 13,904.55

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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.