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Finding the Fourth Proportional to 9,752.62, 13,448.16 and 7,862.20

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Solution

The fourth proportional to 9,752.62, 13,448.16 and 7,862.20 is: 10,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.62 : 13,448.16 = 7,862.20 : x
  2. Step 2: Convert to fraction form
    9,752.62/13,448.16 = 7,862.20/x
  3. Step 3: Cross multiply
    9,752.62x = 13,448.16 × 7,862.20
  4. Step 4: Simplify right side
    9,752.62x = 105,732,123.55
  5. Step 5: Solve for x
    x = 105,732,123.55/9,752.62
  6. Step 6: Final answer
    x = 10,841.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.