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Finding the Fourth Proportional to 12,287.71, 16,952.11 and 7,748.90

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Solution

The fourth proportional to 12,287.71, 16,952.11 and 7,748.90 is: 10,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.71 : 16,952.11 = 7,748.90 : x
  2. Step 2: Convert to fraction form
    12,287.71/16,952.11 = 7,748.90/x
  3. Step 3: Cross multiply
    12,287.71x = 16,952.11 × 7,748.90
  4. Step 4: Simplify right side
    12,287.71x = 131,360,081.67
  5. Step 5: Solve for x
    x = 131,360,081.67/12,287.71
  6. Step 6: Final answer
    x = 10,690.37

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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.