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Finding the Fourth Proportional to 19,378.75, 29,073 and 5,527.75

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Solution

The fourth proportional to 19,378.75, 29,073 and 5,527.75 is: 8,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.75 : 29,073 = 5,527.75 : x
  2. Step 2: Convert to fraction form
    19,378.75/29,073 = 5,527.75/x
  3. Step 3: Cross multiply
    19,378.75x = 29,073 × 5,527.75
  4. Step 4: Simplify right side
    19,378.75x = 160,708,275.75
  5. Step 5: Solve for x
    x = 160,708,275.75/19,378.75
  6. Step 6: Final answer
    x = 8,293.02

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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.