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Finding the Fourth Proportional to 13,006.86, 17,951.05 and 7,971.80

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Solution

The fourth proportional to 13,006.86, 17,951.05 and 7,971.80 is: 11,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.86 : 17,951.05 = 7,971.80 : x
  2. Step 2: Convert to fraction form
    13,006.86/17,951.05 = 7,971.80/x
  3. Step 3: Cross multiply
    13,006.86x = 17,951.05 × 7,971.80
  4. Step 4: Simplify right side
    13,006.86x = 143,102,100.60
  5. Step 5: Solve for x
    x = 143,102,100.60/13,006.86
  6. Step 6: Final answer
    x = 11,002.05

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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.