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Finding the Fourth Proportional to 12,491.98, 17,240.25 and 7,711.63

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Solution

The fourth proportional to 12,491.98, 17,240.25 and 7,711.63 is: 10,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.98 : 17,240.25 = 7,711.63 : x
  2. Step 2: Convert to fraction form
    12,491.98/17,240.25 = 7,711.63/x
  3. Step 3: Cross multiply
    12,491.98x = 17,240.25 × 7,711.63
  4. Step 4: Simplify right side
    12,491.98x = 132,950,429.11
  5. Step 5: Solve for x
    x = 132,950,429.11/12,491.98
  6. Step 6: Final answer
    x = 10,642.86

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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.