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Finding the Fourth Proportional to 5,368, 7,407.86 and 3,131.42

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Solution

The fourth proportional to 5,368, 7,407.86 and 3,131.42 is: 4,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 7,407.86 = 3,131.42 : x
  2. Step 2: Convert to fraction form
    5,368/7,407.86 = 3,131.42/x
  3. Step 3: Cross multiply
    5,368x = 7,407.86 × 3,131.42
  4. Step 4: Simplify right side
    5,368x = 23,197,120.96
  5. Step 5: Solve for x
    x = 23,197,120.96/5,368
  6. Step 6: Final answer
    x = 4,321.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.