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Finding the Fourth Proportional to 5,706.08, 7,878.84 and 4,377.68

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Solution

The fourth proportional to 5,706.08, 7,878.84 and 4,377.68 is: 6,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.08 : 7,878.84 = 4,377.68 : x
  2. Step 2: Convert to fraction form
    5,706.08/7,878.84 = 4,377.68/x
  3. Step 3: Cross multiply
    5,706.08x = 7,878.84 × 4,377.68
  4. Step 4: Simplify right side
    5,706.08x = 34,491,040.29
  5. Step 5: Solve for x
    x = 34,491,040.29/5,706.08
  6. Step 6: Final answer
    x = 6,044.61

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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.