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Finding the Fourth Proportional to 9,640.46, 13,304.22 and 7,278.50

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Solution

The fourth proportional to 9,640.46, 13,304.22 and 7,278.50 is: 10,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.46 : 13,304.22 = 7,278.50 : x
  2. Step 2: Convert to fraction form
    9,640.46/13,304.22 = 7,278.50/x
  3. Step 3: Cross multiply
    9,640.46x = 13,304.22 × 7,278.50
  4. Step 4: Simplify right side
    9,640.46x = 96,834,765.27
  5. Step 5: Solve for x
    x = 96,834,765.27/9,640.46
  6. Step 6: Final answer
    x = 10,044.62

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1.5x scale

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.