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Finding the Fourth Proportional to 1,678.67, 2,314.12 and 1,470.91

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Solution

The fourth proportional to 1,678.67, 2,314.12 and 1,470.91 is: 2,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.67 : 2,314.12 = 1,470.91 : x
  2. Step 2: Convert to fraction form
    1,678.67/2,314.12 = 1,470.91/x
  3. Step 3: Cross multiply
    1,678.67x = 2,314.12 × 1,470.91
  4. Step 4: Simplify right side
    1,678.67x = 3,403,859.88
  5. Step 5: Solve for x
    x = 3,403,859.88/1,678.67
  6. Step 6: Final answer
    x = 2,027.71

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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.