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Finding the Fourth Proportional to 13,013.70, 17,961.02 and 7,980.69

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Solution

The fourth proportional to 13,013.70, 17,961.02 and 7,980.69 is: 11,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.70 : 17,961.02 = 7,980.69 : x
  2. Step 2: Convert to fraction form
    13,013.70/17,961.02 = 7,980.69/x
  3. Step 3: Cross multiply
    13,013.70x = 17,961.02 × 7,980.69
  4. Step 4: Simplify right side
    13,013.70x = 143,341,332.70
  5. Step 5: Solve for x
    x = 143,341,332.70/13,013.70
  6. Step 6: Final answer
    x = 11,014.65

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Similar ratio
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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.