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Finding the Fourth Proportional to 10,176.92, 15,264.15 and 2,782.02

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Solution

The fourth proportional to 10,176.92, 15,264.15 and 2,782.02 is: 4,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.92 : 15,264.15 = 2,782.02 : x
  2. Step 2: Convert to fraction form
    10,176.92/15,264.15 = 2,782.02/x
  3. Step 3: Cross multiply
    10,176.92x = 15,264.15 × 2,782.02
  4. Step 4: Simplify right side
    10,176.92x = 42,465,170.58
  5. Step 5: Solve for x
    x = 42,465,170.58/10,176.92
  6. Step 6: Final answer
    x = 4,172.70

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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.