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Finding the Fourth Proportional to 2,666.68, 3,679.90 and 1,547.53

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Solution

The fourth proportional to 2,666.68, 3,679.90 and 1,547.53 is: 2,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.68 : 3,679.90 = 1,547.53 : x
  2. Step 2: Convert to fraction form
    2,666.68/3,679.90 = 1,547.53/x
  3. Step 3: Cross multiply
    2,666.68x = 3,679.90 × 1,547.53
  4. Step 4: Simplify right side
    2,666.68x = 5,694,755.65
  5. Step 5: Solve for x
    x = 5,694,755.65/2,666.68
  6. Step 6: Final answer
    x = 2,135.52

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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.