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Finding the Fourth Proportional to 5,878.86, 8,108.55 and 3,891.12

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Solution

The fourth proportional to 5,878.86, 8,108.55 and 3,891.12 is: 5,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.86 : 8,108.55 = 3,891.12 : x
  2. Step 2: Convert to fraction form
    5,878.86/8,108.55 = 3,891.12/x
  3. Step 3: Cross multiply
    5,878.86x = 8,108.55 × 3,891.12
  4. Step 4: Simplify right side
    5,878.86x = 31,551,341.08
  5. Step 5: Solve for x
    x = 31,551,341.08/5,878.86
  6. Step 6: Final answer
    x = 5,366.91

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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.