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Finding the Fourth Proportional to 5,787.16, 7,978.79 and 4,723.83

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Solution

The fourth proportional to 5,787.16, 7,978.79 and 4,723.83 is: 6,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.16 : 7,978.79 = 4,723.83 : x
  2. Step 2: Convert to fraction form
    5,787.16/7,978.79 = 4,723.83/x
  3. Step 3: Cross multiply
    5,787.16x = 7,978.79 × 4,723.83
  4. Step 4: Simplify right side
    5,787.16x = 37,690,459.38
  5. Step 5: Solve for x
    x = 37,690,459.38/5,787.16
  6. Step 6: Final answer
    x = 6,512.78

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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.