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Finding the Fourth Proportional to 14,393.20, 19,862.25 and 8,019.82

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Solution

The fourth proportional to 14,393.20, 19,862.25 and 8,019.82 is: 11,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.20 : 19,862.25 = 8,019.82 : x
  2. Step 2: Convert to fraction form
    14,393.20/19,862.25 = 8,019.82/x
  3. Step 3: Cross multiply
    14,393.20x = 19,862.25 × 8,019.82
  4. Step 4: Simplify right side
    14,393.20x = 159,291,669.80
  5. Step 5: Solve for x
    x = 159,291,669.80/14,393.20
  6. Step 6: Final answer
    x = 11,067.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.