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Finding the Fourth Proportional to 21,913.62, 32,861.79 and 9,434.58

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Solution

The fourth proportional to 21,913.62, 32,861.79 and 9,434.58 is: 14,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.62 : 32,861.79 = 9,434.58 : x
  2. Step 2: Convert to fraction form
    21,913.62/32,861.79 = 9,434.58/x
  3. Step 3: Cross multiply
    21,913.62x = 32,861.79 × 9,434.58
  4. Step 4: Simplify right side
    21,913.62x = 310,037,186.70
  5. Step 5: Solve for x
    x = 310,037,186.70/21,913.62
  6. Step 6: Final answer
    x = 14,148.15

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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.