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Finding the Fourth Proportional to 8,376.84, 12,491.24 and 8,301.76

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Solution

The fourth proportional to 8,376.84, 12,491.24 and 8,301.76 is: 12,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.84 : 12,491.24 = 8,301.76 : x
  2. Step 2: Convert to fraction form
    8,376.84/12,491.24 = 8,301.76/x
  3. Step 3: Cross multiply
    8,376.84x = 12,491.24 × 8,301.76
  4. Step 4: Simplify right side
    8,376.84x = 103,699,276.58
  5. Step 5: Solve for x
    x = 103,699,276.58/8,376.84
  6. Step 6: Final answer
    x = 12,379.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.