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Finding the Fourth Proportional to 8,377, 12,565.76 and 3,113.32

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Solution

The fourth proportional to 8,377, 12,565.76 and 3,113.32 is: 4,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377 : 12,565.76 = 3,113.32 : x
  2. Step 2: Convert to fraction form
    8,377/12,565.76 = 3,113.32/x
  3. Step 3: Cross multiply
    8,377x = 12,565.76 × 3,113.32
  4. Step 4: Simplify right side
    8,377x = 39,121,231.92
  5. Step 5: Solve for x
    x = 39,121,231.92/8,377
  6. Step 6: Final answer
    x = 4,670.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.