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Finding the Fourth Proportional to 12,960.14, 17,881.97 and 7,655.75

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Solution

The fourth proportional to 12,960.14, 17,881.97 and 7,655.75 is: 10,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.14 : 17,881.97 = 7,655.75 : x
  2. Step 2: Convert to fraction form
    12,960.14/17,881.97 = 7,655.75/x
  3. Step 3: Cross multiply
    12,960.14x = 17,881.97 × 7,655.75
  4. Step 4: Simplify right side
    12,960.14x = 136,899,764.14
  5. Step 5: Solve for x
    x = 136,899,764.14/12,960.14
  6. Step 6: Final answer
    x = 10,563.14

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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.