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Finding the Fourth Proportional to 6,946.20, 9,585.72 and 6,381.38

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Solution

The fourth proportional to 6,946.20, 9,585.72 and 6,381.38 is: 8,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.20 : 9,585.72 = 6,381.38 : x
  2. Step 2: Convert to fraction form
    6,946.20/9,585.72 = 6,381.38/x
  3. Step 3: Cross multiply
    6,946.20x = 9,585.72 × 6,381.38
  4. Step 4: Simplify right side
    6,946.20x = 61,170,073.97
  5. Step 5: Solve for x
    x = 61,170,073.97/6,946.20
  6. Step 6: Final answer
    x = 8,806.26

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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.