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Finding the Fourth Proportional to 12,972.33, 17,900.82 and 7,666.11

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Solution

The fourth proportional to 12,972.33, 17,900.82 and 7,666.11 is: 10,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.33 : 17,900.82 = 7,666.11 : x
  2. Step 2: Convert to fraction form
    12,972.33/17,900.82 = 7,666.11/x
  3. Step 3: Cross multiply
    12,972.33x = 17,900.82 × 7,666.11
  4. Step 4: Simplify right side
    12,972.33x = 137,229,655.21
  5. Step 5: Solve for x
    x = 137,229,655.21/12,972.33
  6. Step 6: Final answer
    x = 10,578.64

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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.