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Finding the Fourth Proportional to 7,234.64, 9,976.64 and 4,402.40

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Solution

The fourth proportional to 7,234.64, 9,976.64 and 4,402.40 is: 6,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.64 : 9,976.64 = 4,402.40 : x
  2. Step 2: Convert to fraction form
    7,234.64/9,976.64 = 4,402.40/x
  3. Step 3: Cross multiply
    7,234.64x = 9,976.64 × 4,402.40
  4. Step 4: Simplify right side
    7,234.64x = 43,921,159.94
  5. Step 5: Solve for x
    x = 43,921,159.94/7,234.64
  6. Step 6: Final answer
    x = 6,070.95

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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.