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Finding the Fourth Proportional to 10,278.52, 15,343.40 and 9,032.99

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Solution

The fourth proportional to 10,278.52, 15,343.40 and 9,032.99 is: 13,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.52 : 15,343.40 = 9,032.99 : x
  2. Step 2: Convert to fraction form
    10,278.52/15,343.40 = 9,032.99/x
  3. Step 3: Cross multiply
    10,278.52x = 15,343.40 × 9,032.99
  4. Step 4: Simplify right side
    10,278.52x = 138,596,724.63
  5. Step 5: Solve for x
    x = 138,596,724.63/10,278.52
  6. Step 6: Final answer
    x = 13,484.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.