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Finding the Fourth Proportional to 5,878.65, 8,111.88 and 3,487.76

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Solution

The fourth proportional to 5,878.65, 8,111.88 and 3,487.76 is: 4,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.65 : 8,111.88 = 3,487.76 : x
  2. Step 2: Convert to fraction form
    5,878.65/8,111.88 = 3,487.76/x
  3. Step 3: Cross multiply
    5,878.65x = 8,111.88 × 3,487.76
  4. Step 4: Simplify right side
    5,878.65x = 28,292,326.08
  5. Step 5: Solve for x
    x = 28,292,326.08/5,878.65
  6. Step 6: Final answer
    x = 4,812.73

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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.