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Finding the Fourth Proportional to 2,921.76, 4,382.55 and 730.47

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Solution

The fourth proportional to 2,921.76, 4,382.55 and 730.47 is: 1,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.76 : 4,382.55 = 730.47 : x
  2. Step 2: Convert to fraction form
    2,921.76/4,382.55 = 730.47/x
  3. Step 3: Cross multiply
    2,921.76x = 4,382.55 × 730.47
  4. Step 4: Simplify right side
    2,921.76x = 3,201,321.30
  5. Step 5: Solve for x
    x = 3,201,321.30/2,921.76
  6. Step 6: Final answer
    x = 1,095.68

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1.5x scale

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.