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Finding the Fourth Proportional to 5,780.54, 7,977.12 and 3,127.91

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Solution

The fourth proportional to 5,780.54, 7,977.12 and 3,127.91 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.54 : 7,977.12 = 3,127.91 : x
  2. Step 2: Convert to fraction form
    5,780.54/7,977.12 = 3,127.91/x
  3. Step 3: Cross multiply
    5,780.54x = 7,977.12 × 3,127.91
  4. Step 4: Simplify right side
    5,780.54x = 24,951,713.42
  5. Step 5: Solve for x
    x = 24,951,713.42/5,780.54
  6. Step 6: Final answer
    x = 4,316.50

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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.