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Finding the Fourth Proportional to 10,543.28, 15,813.12 and 3,522.32

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Solution

The fourth proportional to 10,543.28, 15,813.12 and 3,522.32 is: 5,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.28 : 15,813.12 = 3,522.32 : x
  2. Step 2: Convert to fraction form
    10,543.28/15,813.12 = 3,522.32/x
  3. Step 3: Cross multiply
    10,543.28x = 15,813.12 × 3,522.32
  4. Step 4: Simplify right side
    10,543.28x = 55,698,868.84
  5. Step 5: Solve for x
    x = 55,698,868.84/10,543.28
  6. Step 6: Final answer
    x = 5,282.88

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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.