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Finding the Fourth Proportional to 18,638.68, 27,962.88 and 6,952

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Solution

The fourth proportional to 18,638.68, 27,962.88 and 6,952 is: 10,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.68 : 27,962.88 = 6,952 : x
  2. Step 2: Convert to fraction form
    18,638.68/27,962.88 = 6,952/x
  3. Step 3: Cross multiply
    18,638.68x = 27,962.88 × 6,952
  4. Step 4: Simplify right side
    18,638.68x = 194,397,941.76
  5. Step 5: Solve for x
    x = 194,397,941.76/18,638.68
  6. Step 6: Final answer
    x = 10,429.81

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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.