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Finding the Fourth Proportional to 21,500.68, 29,672.74 and 12,548.76

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Solution

The fourth proportional to 21,500.68, 29,672.74 and 12,548.76 is: 17,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.68 : 29,672.74 = 12,548.76 : x
  2. Step 2: Convert to fraction form
    21,500.68/29,672.74 = 12,548.76/x
  3. Step 3: Cross multiply
    21,500.68x = 29,672.74 × 12,548.76
  4. Step 4: Simplify right side
    21,500.68x = 372,356,092.80
  5. Step 5: Solve for x
    x = 372,356,092.80/21,500.68
  6. Step 6: Final answer
    x = 17,318.34

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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.