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Finding the Fourth Proportional to 11,965.62, 16,519.98 and 7,718.76

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Solution

The fourth proportional to 11,965.62, 16,519.98 and 7,718.76 is: 10,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.62 : 16,519.98 = 7,718.76 : x
  2. Step 2: Convert to fraction form
    11,965.62/16,519.98 = 7,718.76/x
  3. Step 3: Cross multiply
    11,965.62x = 16,519.98 × 7,718.76
  4. Step 4: Simplify right side
    11,965.62x = 127,513,760.82
  5. Step 5: Solve for x
    x = 127,513,760.82/11,965.62
  6. Step 6: Final answer
    x = 10,656.68

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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.