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Finding the Fourth Proportional to 8,371.84, 11,543.16 and 6,874.96

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Solution

The fourth proportional to 8,371.84, 11,543.16 and 6,874.96 is: 9,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.84 : 11,543.16 = 6,874.96 : x
  2. Step 2: Convert to fraction form
    8,371.84/11,543.16 = 6,874.96/x
  3. Step 3: Cross multiply
    8,371.84x = 11,543.16 × 6,874.96
  4. Step 4: Simplify right side
    8,371.84x = 79,358,763.27
  5. Step 5: Solve for x
    x = 79,358,763.27/8,371.84
  6. Step 6: Final answer
    x = 9,479.25

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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.