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Finding the Fourth Proportional to 13,015.89, 17,961.95 and 7,047.61

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Solution

The fourth proportional to 13,015.89, 17,961.95 and 7,047.61 is: 9,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.89 : 17,961.95 = 7,047.61 : x
  2. Step 2: Convert to fraction form
    13,015.89/17,961.95 = 7,047.61/x
  3. Step 3: Cross multiply
    13,015.89x = 17,961.95 × 7,047.61
  4. Step 4: Simplify right side
    13,015.89x = 126,588,818.44
  5. Step 5: Solve for x
    x = 126,588,818.44/13,015.89
  6. Step 6: Final answer
    x = 9,725.71

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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.