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Finding the Fourth Proportional to 21,708.60, 32,565.34 and 6,913.96

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Solution

The fourth proportional to 21,708.60, 32,565.34 and 6,913.96 is: 10,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.60 : 32,565.34 = 6,913.96 : x
  2. Step 2: Convert to fraction form
    21,708.60/32,565.34 = 6,913.96/x
  3. Step 3: Cross multiply
    21,708.60x = 32,565.34 × 6,913.96
  4. Step 4: Simplify right side
    21,708.60x = 225,155,458.15
  5. Step 5: Solve for x
    x = 225,155,458.15/21,708.60
  6. Step 6: Final answer
    x = 10,371.72

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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.