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Finding the Fourth Proportional to 15,142.50, 22,713.95 and 4,754.25

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Solution

The fourth proportional to 15,142.50, 22,713.95 and 4,754.25 is: 7,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.50 : 22,713.95 = 4,754.25 : x
  2. Step 2: Convert to fraction form
    15,142.50/22,713.95 = 4,754.25/x
  3. Step 3: Cross multiply
    15,142.50x = 22,713.95 × 4,754.25
  4. Step 4: Simplify right side
    15,142.50x = 107,987,808.67
  5. Step 5: Solve for x
    x = 107,987,808.67/15,142.50
  6. Step 6: Final answer
    x = 7,131.44

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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.