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Finding the Fourth Proportional to 9,770.20, 13,489 and 7,527.82

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Solution

The fourth proportional to 9,770.20, 13,489 and 7,527.82 is: 10,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.20 : 13,489 = 7,527.82 : x
  2. Step 2: Convert to fraction form
    9,770.20/13,489 = 7,527.82/x
  3. Step 3: Cross multiply
    9,770.20x = 13,489 × 7,527.82
  4. Step 4: Simplify right side
    9,770.20x = 101,542,763.98
  5. Step 5: Solve for x
    x = 101,542,763.98/9,770.20
  6. Step 6: Final answer
    x = 10,393.11

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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.