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Finding the Fourth Proportional to 21,689.56, 32,512.47 and 16,484.50

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Solution

The fourth proportional to 21,689.56, 32,512.47 and 16,484.50 is: 24,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.56 : 32,512.47 = 16,484.50 : x
  2. Step 2: Convert to fraction form
    21,689.56/32,512.47 = 16,484.50/x
  3. Step 3: Cross multiply
    21,689.56x = 32,512.47 × 16,484.50
  4. Step 4: Simplify right side
    21,689.56x = 535,951,811.72
  5. Step 5: Solve for x
    x = 535,951,811.72/21,689.56
  6. Step 6: Final answer
    x = 24,710.13

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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.