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Finding the Fourth Proportional to 9,627.50, 13,286.08 and 5,901.50

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Solution

The fourth proportional to 9,627.50, 13,286.08 and 5,901.50 is: 8,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.50 : 13,286.08 = 5,901.50 : x
  2. Step 2: Convert to fraction form
    9,627.50/13,286.08 = 5,901.50/x
  3. Step 3: Cross multiply
    9,627.50x = 13,286.08 × 5,901.50
  4. Step 4: Simplify right side
    9,627.50x = 78,407,801.12
  5. Step 5: Solve for x
    x = 78,407,801.12/9,627.50
  6. Step 6: Final answer
    x = 8,144.15

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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.