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Finding the Fourth Proportional to 5,131.93, 7,697.90 and 1,434.19

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Solution

The fourth proportional to 5,131.93, 7,697.90 and 1,434.19 is: 2,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.93 : 7,697.90 = 1,434.19 : x
  2. Step 2: Convert to fraction form
    5,131.93/7,697.90 = 1,434.19/x
  3. Step 3: Cross multiply
    5,131.93x = 7,697.90 × 1,434.19
  4. Step 4: Simplify right side
    5,131.93x = 11,040,276.40
  5. Step 5: Solve for x
    x = 11,040,276.40/5,131.93
  6. Step 6: Final answer
    x = 2,151.29

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Similar ratio
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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.