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Finding the Fourth Proportional to 12,659.82, 17,470.47 and 6,994.95

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Solution

The fourth proportional to 12,659.82, 17,470.47 and 6,994.95 is: 9,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.82 : 17,470.47 = 6,994.95 : x
  2. Step 2: Convert to fraction form
    12,659.82/17,470.47 = 6,994.95/x
  3. Step 3: Cross multiply
    12,659.82x = 17,470.47 × 6,994.95
  4. Step 4: Simplify right side
    12,659.82x = 122,205,064.13
  5. Step 5: Solve for x
    x = 122,205,064.13/12,659.82
  6. Step 6: Final answer
    x = 9,652.99

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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.