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Finding the Fourth Proportional to 36,642.30, 54,964.40 and 9,988.52

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Solution

The fourth proportional to 36,642.30, 54,964.40 and 9,988.52 is: 14,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642.30 : 54,964.40 = 9,988.52 : x
  2. Step 2: Convert to fraction form
    36,642.30/54,964.40 = 9,988.52/x
  3. Step 3: Cross multiply
    36,642.30x = 54,964.40 × 9,988.52
  4. Step 4: Simplify right side
    36,642.30x = 549,013,008.69
  5. Step 5: Solve for x
    x = 549,013,008.69/36,642.30
  6. Step 6: Final answer
    x = 14,983.04

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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.