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Finding the Fourth Proportional to 2,724.61, 4,087.49 and 875.86

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Solution

The fourth proportional to 2,724.61, 4,087.49 and 875.86 is: 1,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.61 : 4,087.49 = 875.86 : x
  2. Step 2: Convert to fraction form
    2,724.61/4,087.49 = 875.86/x
  3. Step 3: Cross multiply
    2,724.61x = 4,087.49 × 875.86
  4. Step 4: Simplify right side
    2,724.61x = 3,580,068.99
  5. Step 5: Solve for x
    x = 3,580,068.99/2,724.61
  6. Step 6: Final answer
    x = 1,313.97

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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.