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Finding the Fourth Proportional to 3,122.92, 4,685.05 and 931.82

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Solution

The fourth proportional to 3,122.92, 4,685.05 and 931.82 is: 1,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.92 : 4,685.05 = 931.82 : x
  2. Step 2: Convert to fraction form
    3,122.92/4,685.05 = 931.82/x
  3. Step 3: Cross multiply
    3,122.92x = 4,685.05 × 931.82
  4. Step 4: Simplify right side
    3,122.92x = 4,365,623.29
  5. Step 5: Solve for x
    x = 4,365,623.29/3,122.92
  6. Step 6: Final answer
    x = 1,397.93

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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.