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Finding the Fourth Proportional to 15,562.32, 21,476 and 8,488.78

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Solution

The fourth proportional to 15,562.32, 21,476 and 8,488.78 is: 11,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,562.32 : 21,476 = 8,488.78 : x
  2. Step 2: Convert to fraction form
    15,562.32/21,476 = 8,488.78/x
  3. Step 3: Cross multiply
    15,562.32x = 21,476 × 8,488.78
  4. Step 4: Simplify right side
    15,562.32x = 182,305,039.28
  5. Step 5: Solve for x
    x = 182,305,039.28/15,562.32
  6. Step 6: Final answer
    x = 11,714.52

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1.5x scale

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.