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Finding the Fourth Proportional to 13,013.76, 17,958.95 and 7,045.54

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Solution

The fourth proportional to 13,013.76, 17,958.95 and 7,045.54 is: 9,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.76 : 17,958.95 = 7,045.54 : x
  2. Step 2: Convert to fraction form
    13,013.76/17,958.95 = 7,045.54/x
  3. Step 3: Cross multiply
    13,013.76x = 17,958.95 × 7,045.54
  4. Step 4: Simplify right side
    13,013.76x = 126,530,500.58
  5. Step 5: Solve for x
    x = 126,530,500.58/13,013.76
  6. Step 6: Final answer
    x = 9,722.82

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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.