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Finding the Fourth Proportional to 1,754.85, 2,421.74 and 1,008.78

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Solution

The fourth proportional to 1,754.85, 2,421.74 and 1,008.78 is: 1,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.85 : 2,421.74 = 1,008.78 : x
  2. Step 2: Convert to fraction form
    1,754.85/2,421.74 = 1,008.78/x
  3. Step 3: Cross multiply
    1,754.85x = 2,421.74 × 1,008.78
  4. Step 4: Simplify right side
    1,754.85x = 2,442,997.83
  5. Step 5: Solve for x
    x = 2,442,997.83/1,754.85
  6. Step 6: Final answer
    x = 1,392.14

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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.