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Finding the Fourth Proportional to 12,961.86, 17,862.38 and 9,419.46

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Solution

The fourth proportional to 12,961.86, 17,862.38 and 9,419.46 is: 12,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.86 : 17,862.38 = 9,419.46 : x
  2. Step 2: Convert to fraction form
    12,961.86/17,862.38 = 9,419.46/x
  3. Step 3: Cross multiply
    12,961.86x = 17,862.38 × 9,419.46
  4. Step 4: Simplify right side
    12,961.86x = 168,253,973.91
  5. Step 5: Solve for x
    x = 168,253,973.91/12,961.86
  6. Step 6: Final answer
    x = 12,980.70

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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.