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Finding the Fourth Proportional to 10,522.76, 15,784.82 and 3,949.11

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Solution

The fourth proportional to 10,522.76, 15,784.82 and 3,949.11 is: 5,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.76 : 15,784.82 = 3,949.11 : x
  2. Step 2: Convert to fraction form
    10,522.76/15,784.82 = 3,949.11/x
  3. Step 3: Cross multiply
    10,522.76x = 15,784.82 × 3,949.11
  4. Step 4: Simplify right side
    10,522.76x = 62,335,970.76
  5. Step 5: Solve for x
    x = 62,335,970.76/10,522.76
  6. Step 6: Final answer
    x = 5,923.92

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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.