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Finding the Fourth Proportional to 12,656.71, 17,465.92 and 6,991.17

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Solution

The fourth proportional to 12,656.71, 17,465.92 and 6,991.17 is: 9,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.71 : 17,465.92 = 6,991.17 : x
  2. Step 2: Convert to fraction form
    12,656.71/17,465.92 = 6,991.17/x
  3. Step 3: Cross multiply
    12,656.71x = 17,465.92 × 6,991.17
  4. Step 4: Simplify right side
    12,656.71x = 122,107,215.93
  5. Step 5: Solve for x
    x = 122,107,215.93/12,656.71
  6. Step 6: Final answer
    x = 9,647.63

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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.