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Finding the Fourth Proportional to 15,491, 23,226.96 and 9,249.80

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Solution

The fourth proportional to 15,491, 23,226.96 and 9,249.80 is: 13,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491 : 23,226.96 = 9,249.80 : x
  2. Step 2: Convert to fraction form
    15,491/23,226.96 = 9,249.80/x
  3. Step 3: Cross multiply
    15,491x = 23,226.96 × 9,249.80
  4. Step 4: Simplify right side
    15,491x = 214,844,734.61
  5. Step 5: Solve for x
    x = 214,844,734.61/15,491
  6. Step 6: Final answer
    x = 13,869.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.