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Finding the Fourth Proportional to 9,003, 12,425.40 and 6,493.42

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Solution

The fourth proportional to 9,003, 12,425.40 and 6,493.42 is: 8,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003 : 12,425.40 = 6,493.42 : x
  2. Step 2: Convert to fraction form
    9,003/12,425.40 = 6,493.42/x
  3. Step 3: Cross multiply
    9,003x = 12,425.40 × 6,493.42
  4. Step 4: Simplify right side
    9,003x = 80,683,340.87
  5. Step 5: Solve for x
    x = 80,683,340.87/9,003
  6. Step 6: Final answer
    x = 8,961.83

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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.