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Finding the Fourth Proportional to 17,900.85, 24,703.20 and 9,942.87

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Solution

The fourth proportional to 17,900.85, 24,703.20 and 9,942.87 is: 13,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.85 : 24,703.20 = 9,942.87 : x
  2. Step 2: Convert to fraction form
    17,900.85/24,703.20 = 9,942.87/x
  3. Step 3: Cross multiply
    17,900.85x = 24,703.20 × 9,942.87
  4. Step 4: Simplify right side
    17,900.85x = 245,620,706.18
  5. Step 5: Solve for x
    x = 245,620,706.18/17,900.85
  6. Step 6: Final answer
    x = 13,721.18

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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.