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Finding the Fourth Proportional to 6,854.37, 10,287.32 and 6,422.37

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Solution

The fourth proportional to 6,854.37, 10,287.32 and 6,422.37 is: 9,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.37 : 10,287.32 = 6,422.37 : x
  2. Step 2: Convert to fraction form
    6,854.37/10,287.32 = 6,422.37/x
  3. Step 3: Cross multiply
    6,854.37x = 10,287.32 × 6,422.37
  4. Step 4: Simplify right side
    6,854.37x = 66,068,943.24
  5. Step 5: Solve for x
    x = 66,068,943.24/6,854.37
  6. Step 6: Final answer
    x = 9,638.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.