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Finding the Fourth Proportional to 6,862.64, 9,470.44 and 3,718.80

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Solution

The fourth proportional to 6,862.64, 9,470.44 and 3,718.80 is: 5,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.64 : 9,470.44 = 3,718.80 : x
  2. Step 2: Convert to fraction form
    6,862.64/9,470.44 = 3,718.80/x
  3. Step 3: Cross multiply
    6,862.64x = 9,470.44 × 3,718.80
  4. Step 4: Simplify right side
    6,862.64x = 35,218,672.27
  5. Step 5: Solve for x
    x = 35,218,672.27/6,862.64
  6. Step 6: Final answer
    x = 5,131.94

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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.