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Finding the Fourth Proportional to 9,147.50, 12,630.66 and 7,019.66

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Solution

The fourth proportional to 9,147.50, 12,630.66 and 7,019.66 is: 9,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.50 : 12,630.66 = 7,019.66 : x
  2. Step 2: Convert to fraction form
    9,147.50/12,630.66 = 7,019.66/x
  3. Step 3: Cross multiply
    9,147.50x = 12,630.66 × 7,019.66
  4. Step 4: Simplify right side
    9,147.50x = 88,662,938.78
  5. Step 5: Solve for x
    x = 88,662,938.78/9,147.50
  6. Step 6: Final answer
    x = 9,692.59

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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.