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Finding the Fourth Proportional to 12,705.76, 17,515.66 and 8,917.19

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Solution

The fourth proportional to 12,705.76, 17,515.66 and 8,917.19 is: 12,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.76 : 17,515.66 = 8,917.19 : x
  2. Step 2: Convert to fraction form
    12,705.76/17,515.66 = 8,917.19/x
  3. Step 3: Cross multiply
    12,705.76x = 17,515.66 × 8,917.19
  4. Step 4: Simplify right side
    12,705.76x = 156,190,468.20
  5. Step 5: Solve for x
    x = 156,190,468.20/12,705.76
  6. Step 6: Final answer
    x = 12,292.89

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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.