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Finding the Fourth Proportional to 2,724.98, 4,087.87 and 875.48

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Solution

The fourth proportional to 2,724.98, 4,087.87 and 875.48 is: 1,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.98 : 4,087.87 = 875.48 : x
  2. Step 2: Convert to fraction form
    2,724.98/4,087.87 = 875.48/x
  3. Step 3: Cross multiply
    2,724.98x = 4,087.87 × 875.48
  4. Step 4: Simplify right side
    2,724.98x = 3,578,860.29
  5. Step 5: Solve for x
    x = 3,578,860.29/2,724.98
  6. Step 6: Final answer
    x = 1,313.35

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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.