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Finding the Fourth Proportional to 8,381.70, 12,498.51 and 8,306.64

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Solution

The fourth proportional to 8,381.70, 12,498.51 and 8,306.64 is: 12,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.70 : 12,498.51 = 8,306.64 : x
  2. Step 2: Convert to fraction form
    8,381.70/12,498.51 = 8,306.64/x
  3. Step 3: Cross multiply
    8,381.70x = 12,498.51 × 8,306.64
  4. Step 4: Simplify right side
    8,381.70x = 103,820,623.11
  5. Step 5: Solve for x
    x = 103,820,623.11/8,381.70
  6. Step 6: Final answer
    x = 12,386.58

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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.