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Finding the Fourth Proportional to 2,567.84, 3,543.68 and 1,519.90

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Solution

The fourth proportional to 2,567.84, 3,543.68 and 1,519.90 is: 2,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.84 : 3,543.68 = 1,519.90 : x
  2. Step 2: Convert to fraction form
    2,567.84/3,543.68 = 1,519.90/x
  3. Step 3: Cross multiply
    2,567.84x = 3,543.68 × 1,519.90
  4. Step 4: Simplify right side
    2,567.84x = 5,386,034.17
  5. Step 5: Solve for x
    x = 5,386,034.17/2,567.84
  6. Step 6: Final answer
    x = 2,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.