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Finding the Fourth Proportional to 21,502.71, 32,266.35 and 8,353.38

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Solution

The fourth proportional to 21,502.71, 32,266.35 and 8,353.38 is: 12,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.71 : 32,266.35 = 8,353.38 : x
  2. Step 2: Convert to fraction form
    21,502.71/32,266.35 = 8,353.38/x
  3. Step 3: Cross multiply
    21,502.71x = 32,266.35 × 8,353.38
  4. Step 4: Simplify right side
    21,502.71x = 269,533,082.76
  5. Step 5: Solve for x
    x = 269,533,082.76/21,502.71
  6. Step 6: Final answer
    x = 12,534.84

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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.