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Finding the Fourth Proportional to 1,764.49, 2,434.96 and 978.52

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Solution

The fourth proportional to 1,764.49, 2,434.96 and 978.52 is: 1,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.49 : 2,434.96 = 978.52 : x
  2. Step 2: Convert to fraction form
    1,764.49/2,434.96 = 978.52/x
  3. Step 3: Cross multiply
    1,764.49x = 2,434.96 × 978.52
  4. Step 4: Simplify right side
    1,764.49x = 2,382,657.06
  5. Step 5: Solve for x
    x = 2,382,657.06/1,764.49
  6. Step 6: Final answer
    x = 1,350.34

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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.