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Finding the Fourth Proportional to 12,803.52, 19,208.10 and 5,414.28

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Solution

The fourth proportional to 12,803.52, 19,208.10 and 5,414.28 is: 8,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.52 : 19,208.10 = 5,414.28 : x
  2. Step 2: Convert to fraction form
    12,803.52/19,208.10 = 5,414.28/x
  3. Step 3: Cross multiply
    12,803.52x = 19,208.10 × 5,414.28
  4. Step 4: Simplify right side
    12,803.52x = 103,998,031.67
  5. Step 5: Solve for x
    x = 103,998,031.67/12,803.52
  6. Step 6: Final answer
    x = 8,122.61

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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.