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Finding the Fourth Proportional to 12,649.97, 17,453.07 and 7,343.76

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Solution

The fourth proportional to 12,649.97, 17,453.07 and 7,343.76 is: 10,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.97 : 17,453.07 = 7,343.76 : x
  2. Step 2: Convert to fraction form
    12,649.97/17,453.07 = 7,343.76/x
  3. Step 3: Cross multiply
    12,649.97x = 17,453.07 × 7,343.76
  4. Step 4: Simplify right side
    12,649.97x = 128,171,222.79
  5. Step 5: Solve for x
    x = 128,171,222.79/12,649.97
  6. Step 6: Final answer
    x = 10,132.13

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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.