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Finding the Fourth Proportional to 7,354.18, 10,974.07 and 6,490.18

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Solution

The fourth proportional to 7,354.18, 10,974.07 and 6,490.18 is: 9,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.18 : 10,974.07 = 6,490.18 : x
  2. Step 2: Convert to fraction form
    7,354.18/10,974.07 = 6,490.18/x
  3. Step 3: Cross multiply
    7,354.18x = 10,974.07 × 6,490.18
  4. Step 4: Simplify right side
    7,354.18x = 71,223,689.63
  5. Step 5: Solve for x
    x = 71,223,689.63/7,354.18
  6. Step 6: Final answer
    x = 9,684.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.