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Finding the Fourth Proportional to 12,438.30, 17,164.65 and 6,849.30

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Solution

The fourth proportional to 12,438.30, 17,164.65 and 6,849.30 is: 9,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.30 : 17,164.65 = 6,849.30 : x
  2. Step 2: Convert to fraction form
    12,438.30/17,164.65 = 6,849.30/x
  3. Step 3: Cross multiply
    12,438.30x = 17,164.65 × 6,849.30
  4. Step 4: Simplify right side
    12,438.30x = 117,565,837.25
  5. Step 5: Solve for x
    x = 117,565,837.25/12,438.30
  6. Step 6: Final answer
    x = 9,451.92

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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.