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Finding the Fourth Proportional to 15,941.70, 24,005.14 and 11,811

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Solution

The fourth proportional to 15,941.70, 24,005.14 and 11,811 is: 17,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.70 : 24,005.14 = 11,811 : x
  2. Step 2: Convert to fraction form
    15,941.70/24,005.14 = 11,811/x
  3. Step 3: Cross multiply
    15,941.70x = 24,005.14 × 11,811
  4. Step 4: Simplify right side
    15,941.70x = 283,524,708.54
  5. Step 5: Solve for x
    x = 283,524,708.54/15,941.70
  6. Step 6: Final answer
    x = 17,785.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.