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Finding the Fourth Proportional to 3,147.97, 4,721.95 and 839.47

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Solution

The fourth proportional to 3,147.97, 4,721.95 and 839.47 is: 1,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.97 : 4,721.95 = 839.47 : x
  2. Step 2: Convert to fraction form
    3,147.97/4,721.95 = 839.47/x
  3. Step 3: Cross multiply
    3,147.97x = 4,721.95 × 839.47
  4. Step 4: Simplify right side
    3,147.97x = 3,963,935.37
  5. Step 5: Solve for x
    x = 3,963,935.37/3,147.97
  6. Step 6: Final answer
    x = 1,259.20

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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.