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Finding the Fourth Proportional to 6,402.56, 8,831.36 and 4,516.88

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Solution

The fourth proportional to 6,402.56, 8,831.36 and 4,516.88 is: 6,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.56 : 8,831.36 = 4,516.88 : x
  2. Step 2: Convert to fraction form
    6,402.56/8,831.36 = 4,516.88/x
  3. Step 3: Cross multiply
    6,402.56x = 8,831.36 × 4,516.88
  4. Step 4: Simplify right side
    6,402.56x = 39,890,160.49
  5. Step 5: Solve for x
    x = 39,890,160.49/6,402.56
  6. Step 6: Final answer
    x = 6,230.35

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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.