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Finding the Fourth Proportional to 8,974.67, 13,461.98 and 7,407.90

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Solution

The fourth proportional to 8,974.67, 13,461.98 and 7,407.90 is: 11,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.67 : 13,461.98 = 7,407.90 : x
  2. Step 2: Convert to fraction form
    8,974.67/13,461.98 = 7,407.90/x
  3. Step 3: Cross multiply
    8,974.67x = 13,461.98 × 7,407.90
  4. Step 4: Simplify right side
    8,974.67x = 99,724,964.60
  5. Step 5: Solve for x
    x = 99,724,964.60/8,974.67
  6. Step 6: Final answer
    x = 11,111.83

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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.