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Finding the Fourth Proportional to 7,747.52, 11,627.04 and 4,291.52

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Solution

The fourth proportional to 7,747.52, 11,627.04 and 4,291.52 is: 6,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.52 : 11,627.04 = 4,291.52 : x
  2. Step 2: Convert to fraction form
    7,747.52/11,627.04 = 4,291.52/x
  3. Step 3: Cross multiply
    7,747.52x = 11,627.04 × 4,291.52
  4. Step 4: Simplify right side
    7,747.52x = 49,897,674.70
  5. Step 5: Solve for x
    x = 49,897,674.70/7,747.52
  6. Step 6: Final answer
    x = 6,440.47

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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.