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Finding the Fourth Proportional to 21,587.70, 32,375.32 and 9,110.52

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Solution

The fourth proportional to 21,587.70, 32,375.32 and 9,110.52 is: 13,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.70 : 32,375.32 = 9,110.52 : x
  2. Step 2: Convert to fraction form
    21,587.70/32,375.32 = 9,110.52/x
  3. Step 3: Cross multiply
    21,587.70x = 32,375.32 × 9,110.52
  4. Step 4: Simplify right side
    21,587.70x = 294,956,000.37
  5. Step 5: Solve for x
    x = 294,956,000.37/21,587.70
  6. Step 6: Final answer
    x = 13,663.15

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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.