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Finding the Fourth Proportional to 21,462.92, 32,202 and 9,615.76

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Solution

The fourth proportional to 21,462.92, 32,202 and 9,615.76 is: 14,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.92 : 32,202 = 9,615.76 : x
  2. Step 2: Convert to fraction form
    21,462.92/32,202 = 9,615.76/x
  3. Step 3: Cross multiply
    21,462.92x = 32,202 × 9,615.76
  4. Step 4: Simplify right side
    21,462.92x = 309,646,703.52
  5. Step 5: Solve for x
    x = 309,646,703.52/21,462.92
  6. Step 6: Final answer
    x = 14,427.05

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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.