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Finding the Fourth Proportional to 10,592.34, 15,857.30 and 9,278.66

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Solution

The fourth proportional to 10,592.34, 15,857.30 and 9,278.66 is: 13,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.34 : 15,857.30 = 9,278.66 : x
  2. Step 2: Convert to fraction form
    10,592.34/15,857.30 = 9,278.66/x
  3. Step 3: Cross multiply
    10,592.34x = 15,857.30 × 9,278.66
  4. Step 4: Simplify right side
    10,592.34x = 147,134,369.54
  5. Step 5: Solve for x
    x = 147,134,369.54/10,592.34
  6. Step 6: Final answer
    x = 13,890.64

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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.