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Finding the Fourth Proportional to 12,659.76, 17,470.16 and 6,994.96

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Solution

The fourth proportional to 12,659.76, 17,470.16 and 6,994.96 is: 9,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.76 : 17,470.16 = 6,994.96 : x
  2. Step 2: Convert to fraction form
    12,659.76/17,470.16 = 6,994.96/x
  3. Step 3: Cross multiply
    12,659.76x = 17,470.16 × 6,994.96
  4. Step 4: Simplify right side
    12,659.76x = 122,203,070.39
  5. Step 5: Solve for x
    x = 122,203,070.39/12,659.76
  6. Step 6: Final answer
    x = 9,652.87

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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.