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Finding the Fourth Proportional to 10,295.80, 15,443.70 and 9,892.60

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Solution

The fourth proportional to 10,295.80, 15,443.70 and 9,892.60 is: 14,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.80 : 15,443.70 = 9,892.60 : x
  2. Step 2: Convert to fraction form
    10,295.80/15,443.70 = 9,892.60/x
  3. Step 3: Cross multiply
    10,295.80x = 15,443.70 × 9,892.60
  4. Step 4: Simplify right side
    10,295.80x = 152,778,346.62
  5. Step 5: Solve for x
    x = 152,778,346.62/10,295.80
  6. Step 6: Final answer
    x = 14,838.90

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