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Finding the Fourth Proportional to 6,642.56, 9,167.65 and 4,284.25

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Solution

The fourth proportional to 6,642.56, 9,167.65 and 4,284.25 is: 5,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.56 : 9,167.65 = 4,284.25 : x
  2. Step 2: Convert to fraction form
    6,642.56/9,167.65 = 4,284.25/x
  3. Step 3: Cross multiply
    6,642.56x = 9,167.65 × 4,284.25
  4. Step 4: Simplify right side
    6,642.56x = 39,276,470.88
  5. Step 5: Solve for x
    x = 39,276,470.88/6,642.56
  6. Step 6: Final answer
    x = 5,912.85

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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.