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Finding the Fourth Proportional to 2,482.98, 3,724.50 and 1,507.14

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Solution

The fourth proportional to 2,482.98, 3,724.50 and 1,507.14 is: 2,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.98 : 3,724.50 = 1,507.14 : x
  2. Step 2: Convert to fraction form
    2,482.98/3,724.50 = 1,507.14/x
  3. Step 3: Cross multiply
    2,482.98x = 3,724.50 × 1,507.14
  4. Step 4: Simplify right side
    2,482.98x = 5,613,342.93
  5. Step 5: Solve for x
    x = 5,613,342.93/2,482.98
  6. Step 6: Final answer
    x = 2,260.73

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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.