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Finding the Fourth Proportional to 23,828.70, 35,686.70 and 20,691.66

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Solution

The fourth proportional to 23,828.70, 35,686.70 and 20,691.66 is: 30,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.70 : 35,686.70 = 20,691.66 : x
  2. Step 2: Convert to fraction form
    23,828.70/35,686.70 = 20,691.66/x
  3. Step 3: Cross multiply
    23,828.70x = 35,686.70 × 20,691.66
  4. Step 4: Simplify right side
    23,828.70x = 738,416,970.14
  5. Step 5: Solve for x
    x = 738,416,970.14/23,828.70
  6. Step 6: Final answer
    x = 30,988.55

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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.