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Finding the Fourth Proportional to 21,432.32, 32,148.47 and 9,748.88

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Solution

The fourth proportional to 21,432.32, 32,148.47 and 9,748.88 is: 14,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.32 : 32,148.47 = 9,748.88 : x
  2. Step 2: Convert to fraction form
    21,432.32/32,148.47 = 9,748.88/x
  3. Step 3: Cross multiply
    21,432.32x = 32,148.47 × 9,748.88
  4. Step 4: Simplify right side
    21,432.32x = 313,411,366.73
  5. Step 5: Solve for x
    x = 313,411,366.73/21,432.32
  6. Step 6: Final answer
    x = 14,623.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.