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Finding the Fourth Proportional to 17,142.80, 25,675.80 and 10,230.80

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Solution

The fourth proportional to 17,142.80, 25,675.80 and 10,230.80 is: 15,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.80 : 25,675.80 = 10,230.80 : x
  2. Step 2: Convert to fraction form
    17,142.80/25,675.80 = 10,230.80/x
  3. Step 3: Cross multiply
    17,142.80x = 25,675.80 × 10,230.80
  4. Step 4: Simplify right side
    17,142.80x = 262,683,974.64
  5. Step 5: Solve for x
    x = 262,683,974.64/17,142.80
  6. Step 6: Final answer
    x = 15,323.28

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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.