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Finding the Fourth Proportional to 2,854.56, 3,935.68 and 2,428.76

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Solution

The fourth proportional to 2,854.56, 3,935.68 and 2,428.76 is: 3,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.56 : 3,935.68 = 2,428.76 : x
  2. Step 2: Convert to fraction form
    2,854.56/3,935.68 = 2,428.76/x
  3. Step 3: Cross multiply
    2,854.56x = 3,935.68 × 2,428.76
  4. Step 4: Simplify right side
    2,854.56x = 9,558,822.16
  5. Step 5: Solve for x
    x = 9,558,822.16/2,854.56
  6. Step 6: Final answer
    x = 3,348.61

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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.