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Finding the Fourth Proportional to 10,657.52, 15,988.98 and 4,084.28

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Solution

The fourth proportional to 10,657.52, 15,988.98 and 4,084.28 is: 6,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.52 : 15,988.98 = 4,084.28 : x
  2. Step 2: Convert to fraction form
    10,657.52/15,988.98 = 4,084.28/x
  3. Step 3: Cross multiply
    10,657.52x = 15,988.98 × 4,084.28
  4. Step 4: Simplify right side
    10,657.52x = 65,303,471.23
  5. Step 5: Solve for x
    x = 65,303,471.23/10,657.52
  6. Step 6: Final answer
    x = 6,127.45

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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.