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Finding the Fourth Proportional to 12,920.63, 19,381.02 and 5,129.44

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Solution

The fourth proportional to 12,920.63, 19,381.02 and 5,129.44 is: 7,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.63 : 19,381.02 = 5,129.44 : x
  2. Step 2: Convert to fraction form
    12,920.63/19,381.02 = 5,129.44/x
  3. Step 3: Cross multiply
    12,920.63x = 19,381.02 × 5,129.44
  4. Step 4: Simplify right side
    12,920.63x = 99,413,849.41
  5. Step 5: Solve for x
    x = 99,413,849.41/12,920.63
  6. Step 6: Final answer
    x = 7,694.19

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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.