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Finding the Fourth Proportional to 10,972.59, 15,142.58 and 6,256.63

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Solution

The fourth proportional to 10,972.59, 15,142.58 and 6,256.63 is: 8,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.59 : 15,142.58 = 6,256.63 : x
  2. Step 2: Convert to fraction form
    10,972.59/15,142.58 = 6,256.63/x
  3. Step 3: Cross multiply
    10,972.59x = 15,142.58 × 6,256.63
  4. Step 4: Simplify right side
    10,972.59x = 94,741,520.31
  5. Step 5: Solve for x
    x = 94,741,520.31/10,972.59
  6. Step 6: Final answer
    x = 8,634.38

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Why These Related Problems?

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