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Finding the Fourth Proportional to 5,642.87, 7,787.45 and 3,125.25

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Solution

The fourth proportional to 5,642.87, 7,787.45 and 3,125.25 is: 4,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.87 : 7,787.45 = 3,125.25 : x
  2. Step 2: Convert to fraction form
    5,642.87/7,787.45 = 3,125.25/x
  3. Step 3: Cross multiply
    5,642.87x = 7,787.45 × 3,125.25
  4. Step 4: Simplify right side
    5,642.87x = 24,337,712.49
  5. Step 5: Solve for x
    x = 24,337,712.49/5,642.87
  6. Step 6: Final answer
    x = 4,313.01

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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.