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Finding the Fourth Proportional to 21,324.47, 32,000.47 and 9,637.79

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Solution

The fourth proportional to 21,324.47, 32,000.47 and 9,637.79 is: 14,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.47 : 32,000.47 = 9,637.79 : x
  2. Step 2: Convert to fraction form
    21,324.47/32,000.47 = 9,637.79/x
  3. Step 3: Cross multiply
    21,324.47x = 32,000.47 × 9,637.79
  4. Step 4: Simplify right side
    21,324.47x = 308,413,625.66
  5. Step 5: Solve for x
    x = 308,413,625.66/21,324.47
  6. Step 6: Final answer
    x = 14,462.90

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1.5x scale

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.