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Finding the Fourth Proportional to 5,643.68, 8,440.68 and 5,126.96

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Solution

The fourth proportional to 5,643.68, 8,440.68 and 5,126.96 is: 7,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.68 : 8,440.68 = 5,126.96 : x
  2. Step 2: Convert to fraction form
    5,643.68/8,440.68 = 5,126.96/x
  3. Step 3: Cross multiply
    5,643.68x = 8,440.68 × 5,126.96
  4. Step 4: Simplify right side
    5,643.68x = 43,275,028.73
  5. Step 5: Solve for x
    x = 43,275,028.73/5,643.68
  6. Step 6: Final answer
    x = 7,667.87

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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.