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Finding the Fourth Proportional to 12,438.01, 17,161.84 and 7,902.03

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Solution

The fourth proportional to 12,438.01, 17,161.84 and 7,902.03 is: 10,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.01 : 17,161.84 = 7,902.03 : x
  2. Step 2: Convert to fraction form
    12,438.01/17,161.84 = 7,902.03/x
  3. Step 3: Cross multiply
    12,438.01x = 17,161.84 × 7,902.03
  4. Step 4: Simplify right side
    12,438.01x = 135,613,367.17
  5. Step 5: Solve for x
    x = 135,613,367.17/12,438.01
  6. Step 6: Final answer
    x = 10,903.14

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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.