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Finding the Fourth Proportional to 10,892.52, 15,031.08 and 6,415.25

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Solution

The fourth proportional to 10,892.52, 15,031.08 and 6,415.25 is: 8,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.52 : 15,031.08 = 6,415.25 : x
  2. Step 2: Convert to fraction form
    10,892.52/15,031.08 = 6,415.25/x
  3. Step 3: Cross multiply
    10,892.52x = 15,031.08 × 6,415.25
  4. Step 4: Simplify right side
    10,892.52x = 96,428,060.81
  5. Step 5: Solve for x
    x = 96,428,060.81/10,892.52
  6. Step 6: Final answer
    x = 8,852.69

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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.