Home / 2,547.12-3,817-1,449.16

Finding the Fourth Proportional to 2,547.12, 3,817 and 1,449.16

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Solution

The fourth proportional to 2,547.12, 3,817 and 1,449.16 is: 2,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.12 : 3,817 = 1,449.16 : x
  2. Step 2: Convert to fraction form
    2,547.12/3,817 = 1,449.16/x
  3. Step 3: Cross multiply
    2,547.12x = 3,817 × 1,449.16
  4. Step 4: Simplify right side
    2,547.12x = 5,531,443.72
  5. Step 5: Solve for x
    x = 5,531,443.72/2,547.12
  6. Step 6: Final answer
    x = 2,171.65

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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.