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Finding the Fourth Proportional to 11,785, 17,684.76 and 10,574.84

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Solution

The fourth proportional to 11,785, 17,684.76 and 10,574.84 is: 15,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785 : 17,684.76 = 10,574.84 : x
  2. Step 2: Convert to fraction form
    11,785/17,684.76 = 10,574.84/x
  3. Step 3: Cross multiply
    11,785x = 17,684.76 × 10,574.84
  4. Step 4: Simplify right side
    11,785x = 187,013,507.44
  5. Step 5: Solve for x
    x = 187,013,507.44/11,785
  6. Step 6: Final answer
    x = 15,868.77

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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.