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Finding the Fourth Proportional to 2,724.38, 4,087.26 and 875.69

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Solution

The fourth proportional to 2,724.38, 4,087.26 and 875.69 is: 1,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.38 : 4,087.26 = 875.69 : x
  2. Step 2: Convert to fraction form
    2,724.38/4,087.26 = 875.69/x
  3. Step 3: Cross multiply
    2,724.38x = 4,087.26 × 875.69
  4. Step 4: Simplify right side
    2,724.38x = 3,579,172.71
  5. Step 5: Solve for x
    x = 3,579,172.71/2,724.38
  6. Step 6: Final answer
    x = 1,313.76

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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.