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Finding the Fourth Proportional to 2,666.14, 3,680.00 and 1,547.43

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Solution

The fourth proportional to 2,666.14, 3,680.00 and 1,547.43 is: 2,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.14 : 3,680.00 = 1,547.43 : x
  2. Step 2: Convert to fraction form
    2,666.14/3,680.00 = 1,547.43/x
  3. Step 3: Cross multiply
    2,666.14x = 3,680.00 × 1,547.43
  4. Step 4: Simplify right side
    2,666.14x = 5,694,534.66
  5. Step 5: Solve for x
    x = 5,694,534.66/2,666.14
  6. Step 6: Final answer
    x = 2,135.88

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