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Finding the Fourth Proportional to 5,638.88, 7,782 and 3,154.88

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Solution

The fourth proportional to 5,638.88, 7,782 and 3,154.88 is: 4,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.88 : 7,782 = 3,154.88 : x
  2. Step 2: Convert to fraction form
    5,638.88/7,782 = 3,154.88/x
  3. Step 3: Cross multiply
    5,638.88x = 7,782 × 3,154.88
  4. Step 4: Simplify right side
    5,638.88x = 24,551,276.16
  5. Step 5: Solve for x
    x = 24,551,276.16/5,638.88
  6. Step 6: Final answer
    x = 4,353.93

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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.