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Finding the Fourth Proportional to 3,751.66, 5,626.98 and 978.52

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Solution

The fourth proportional to 3,751.66, 5,626.98 and 978.52 is: 1,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.66 : 5,626.98 = 978.52 : x
  2. Step 2: Convert to fraction form
    3,751.66/5,626.98 = 978.52/x
  3. Step 3: Cross multiply
    3,751.66x = 5,626.98 × 978.52
  4. Step 4: Simplify right side
    3,751.66x = 5,506,112.47
  5. Step 5: Solve for x
    x = 5,506,112.47/3,751.66
  6. Step 6: Final answer
    x = 1,467.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.