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Finding the Fourth Proportional to 3,098.46, 4,275.65 and 1,839.46

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Solution

The fourth proportional to 3,098.46, 4,275.65 and 1,839.46 is: 2,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.46 : 4,275.65 = 1,839.46 : x
  2. Step 2: Convert to fraction form
    3,098.46/4,275.65 = 1,839.46/x
  3. Step 3: Cross multiply
    3,098.46x = 4,275.65 × 1,839.46
  4. Step 4: Simplify right side
    3,098.46x = 7,864,887.15
  5. Step 5: Solve for x
    x = 7,864,887.15/3,098.46
  6. Step 6: Final answer
    x = 2,538.32

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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.