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Finding the Fourth Proportional to 3,751.76, 5,627.64 and 978.43

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Solution

The fourth proportional to 3,751.76, 5,627.64 and 978.43 is: 1,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.76 : 5,627.64 = 978.43 : x
  2. Step 2: Convert to fraction form
    3,751.76/5,627.64 = 978.43/x
  3. Step 3: Cross multiply
    3,751.76x = 5,627.64 × 978.43
  4. Step 4: Simplify right side
    3,751.76x = 5,506,251.81
  5. Step 5: Solve for x
    x = 5,506,251.81/3,751.76
  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.