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Finding the Fourth Proportional to 8,681.30, 13,000.98 and 4,972.28

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Solution

The fourth proportional to 8,681.30, 13,000.98 and 4,972.28 is: 7,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.30 : 13,000.98 = 4,972.28 : x
  2. Step 2: Convert to fraction form
    8,681.30/13,000.98 = 4,972.28/x
  3. Step 3: Cross multiply
    8,681.30x = 13,000.98 × 4,972.28
  4. Step 4: Simplify right side
    8,681.30x = 64,644,512.83
  5. Step 5: Solve for x
    x = 64,644,512.83/8,681.30
  6. Step 6: Final answer
    x = 7,446.41

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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.