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Finding the Fourth Proportional to 5,643.65, 7,787.88 and 3,125.72

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Solution

The fourth proportional to 5,643.65, 7,787.88 and 3,125.72 is: 4,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.65 : 7,787.88 = 3,125.72 : x
  2. Step 2: Convert to fraction form
    5,643.65/7,787.88 = 3,125.72/x
  3. Step 3: Cross multiply
    5,643.65x = 7,787.88 × 3,125.72
  4. Step 4: Simplify right side
    5,643.65x = 24,342,693.33
  5. Step 5: Solve for x
    x = 24,342,693.33/5,643.65
  6. Step 6: Final answer
    x = 4,313.29

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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.