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Finding the Fourth Proportional to 2,780.70, 4,171.13 and 931.47

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Solution

The fourth proportional to 2,780.70, 4,171.13 and 931.47 is: 1,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.70 : 4,171.13 = 931.47 : x
  2. Step 2: Convert to fraction form
    2,780.70/4,171.13 = 931.47/x
  3. Step 3: Cross multiply
    2,780.70x = 4,171.13 × 931.47
  4. Step 4: Simplify right side
    2,780.70x = 3,885,282.46
  5. Step 5: Solve for x
    x = 3,885,282.46/2,780.70
  6. Step 6: Final answer
    x = 1,397.23

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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.