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Finding the Fourth Proportional to 12,922.80, 19,398.80 and 5,137.12

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Solution

The fourth proportional to 12,922.80, 19,398.80 and 5,137.12 is: 7,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.80 : 19,398.80 = 5,137.12 : x
  2. Step 2: Convert to fraction form
    12,922.80/19,398.80 = 5,137.12/x
  3. Step 3: Cross multiply
    12,922.80x = 19,398.80 × 5,137.12
  4. Step 4: Simplify right side
    12,922.80x = 99,653,963.46
  5. Step 5: Solve for x
    x = 99,653,963.46/12,922.80
  6. Step 6: Final answer
    x = 7,711.48

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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.