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Finding the Fourth Proportional to 1,764.39, 2,434.74 and 978.39

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Solution

The fourth proportional to 1,764.39, 2,434.74 and 978.39 is: 1,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.39 : 2,434.74 = 978.39 : x
  2. Step 2: Convert to fraction form
    1,764.39/2,434.74 = 978.39/x
  3. Step 3: Cross multiply
    1,764.39x = 2,434.74 × 978.39
  4. Step 4: Simplify right side
    1,764.39x = 2,382,125.27
  5. Step 5: Solve for x
    x = 2,382,125.27/1,764.39
  6. Step 6: Final answer
    x = 1,350.11

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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.