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Finding the Fourth Proportional to 22,451, 30,983.34 and 12,515

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Solution

The fourth proportional to 22,451, 30,983.34 and 12,515 is: 17,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 30,983.34 = 12,515 : x
  2. Step 2: Convert to fraction form
    22,451/30,983.34 = 12,515/x
  3. Step 3: Cross multiply
    22,451x = 30,983.34 × 12,515
  4. Step 4: Simplify right side
    22,451x = 387,756,500.10
  5. Step 5: Solve for x
    x = 387,756,500.10/22,451
  6. Step 6: Final answer
    x = 17,271.24

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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.