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Finding the Fourth Proportional to 3,146.97, 4,720.45 and 838.47

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Solution

The fourth proportional to 3,146.97, 4,720.45 and 838.47 is: 1,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.97 : 4,720.45 = 838.47 : x
  2. Step 2: Convert to fraction form
    3,146.97/4,720.45 = 838.47/x
  3. Step 3: Cross multiply
    3,146.97x = 4,720.45 × 838.47
  4. Step 4: Simplify right side
    3,146.97x = 3,957,955.71
  5. Step 5: Solve for x
    x = 3,957,955.71/3,146.97
  6. Step 6: Final answer
    x = 1,257.70

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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.