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Finding the Fourth Proportional to 8,974.70, 12,378.12 and 7,967.47

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Solution

The fourth proportional to 8,974.70, 12,378.12 and 7,967.47 is: 10,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.70 : 12,378.12 = 7,967.47 : x
  2. Step 2: Convert to fraction form
    8,974.70/12,378.12 = 7,967.47/x
  3. Step 3: Cross multiply
    8,974.70x = 12,378.12 × 7,967.47
  4. Step 4: Simplify right side
    8,974.70x = 98,622,299.76
  5. Step 5: Solve for x
    x = 98,622,299.76/8,974.70
  6. Step 6: Final answer
    x = 10,988.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.