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Finding the Fourth Proportional to 2,724.08, 4,086.16 and 875.40

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Solution

The fourth proportional to 2,724.08, 4,086.16 and 875.40 is: 1,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.08 : 4,086.16 = 875.40 : x
  2. Step 2: Convert to fraction form
    2,724.08/4,086.16 = 875.40/x
  3. Step 3: Cross multiply
    2,724.08x = 4,086.16 × 875.40
  4. Step 4: Simplify right side
    2,724.08x = 3,577,024.46
  5. Step 5: Solve for x
    x = 3,577,024.46/2,724.08
  6. Step 6: Final answer
    x = 1,313.11

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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.