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Finding the Fourth Proportional to 21,985.01, 32,964.14 and 8,642.01

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Solution

The fourth proportional to 21,985.01, 32,964.14 and 8,642.01 is: 12,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.01 : 32,964.14 = 8,642.01 : x
  2. Step 2: Convert to fraction form
    21,985.01/32,964.14 = 8,642.01/x
  3. Step 3: Cross multiply
    21,985.01x = 32,964.14 × 8,642.01
  4. Step 4: Simplify right side
    21,985.01x = 284,876,384.31
  5. Step 5: Solve for x
    x = 284,876,384.31/21,985.01
  6. Step 6: Final answer
    x = 12,957.76

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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.