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Finding the Fourth Proportional to 12,767.43, 17,616.40 and 7,731.98

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Solution

The fourth proportional to 12,767.43, 17,616.40 and 7,731.98 is: 10,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.43 : 17,616.40 = 7,731.98 : x
  2. Step 2: Convert to fraction form
    12,767.43/17,616.40 = 7,731.98/x
  3. Step 3: Cross multiply
    12,767.43x = 17,616.40 × 7,731.98
  4. Step 4: Simplify right side
    12,767.43x = 136,209,652.47
  5. Step 5: Solve for x
    x = 136,209,652.47/12,767.43
  6. Step 6: Final answer
    x = 10,668.53

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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.