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Finding the Fourth Proportional to 5,707.92, 7,878.68 and 3,714.96

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Solution

The fourth proportional to 5,707.92, 7,878.68 and 3,714.96 is: 5,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.92 : 7,878.68 = 3,714.96 : x
  2. Step 2: Convert to fraction form
    5,707.92/7,878.68 = 3,714.96/x
  3. Step 3: Cross multiply
    5,707.92x = 7,878.68 × 3,714.96
  4. Step 4: Simplify right side
    5,707.92x = 29,268,981.05
  5. Step 5: Solve for x
    x = 29,268,981.05/5,707.92
  6. Step 6: Final answer
    x = 5,127.78

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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.