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Finding the Fourth Proportional to 12,474.12, 18,710.47 and 7,542.44

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Solution

The fourth proportional to 12,474.12, 18,710.47 and 7,542.44 is: 11,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.12 : 18,710.47 = 7,542.44 : x
  2. Step 2: Convert to fraction form
    12,474.12/18,710.47 = 7,542.44/x
  3. Step 3: Cross multiply
    12,474.12x = 18,710.47 × 7,542.44
  4. Step 4: Simplify right side
    12,474.12x = 141,122,513.22
  5. Step 5: Solve for x
    x = 141,122,513.22/12,474.12
  6. Step 6: Final answer
    x = 11,313.22

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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.