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Finding the Fourth Proportional to 9,425.12, 12,991.78 and 7,530.74

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Solution

The fourth proportional to 9,425.12, 12,991.78 and 7,530.74 is: 10,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.12 : 12,991.78 = 7,530.74 : x
  2. Step 2: Convert to fraction form
    9,425.12/12,991.78 = 7,530.74/x
  3. Step 3: Cross multiply
    9,425.12x = 12,991.78 × 7,530.74
  4. Step 4: Simplify right side
    9,425.12x = 97,837,717.32
  5. Step 5: Solve for x
    x = 97,837,717.32/9,425.12
  6. Step 6: Final answer
    x = 10,380.53

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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.