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Finding the Fourth Proportional to 5,293.13, 7,939.70 and 1,397.57

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Solution

The fourth proportional to 5,293.13, 7,939.70 and 1,397.57 is: 2,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.13 : 7,939.70 = 1,397.57 : x
  2. Step 2: Convert to fraction form
    5,293.13/7,939.70 = 1,397.57/x
  3. Step 3: Cross multiply
    5,293.13x = 7,939.70 × 1,397.57
  4. Step 4: Simplify right side
    5,293.13x = 11,096,286.53
  5. Step 5: Solve for x
    x = 11,096,286.53/5,293.13
  6. Step 6: Final answer
    x = 2,096.36

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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.