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Finding the Fourth Proportional to 14,367.78, 19,827.72 and 7,993.80

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Solution

The fourth proportional to 14,367.78, 19,827.72 and 7,993.80 is: 11,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.78 : 19,827.72 = 7,993.80 : x
  2. Step 2: Convert to fraction form
    14,367.78/19,827.72 = 7,993.80/x
  3. Step 3: Cross multiply
    14,367.78x = 19,827.72 × 7,993.80
  4. Step 4: Simplify right side
    14,367.78x = 158,498,828.14
  5. Step 5: Solve for x
    x = 158,498,828.14/14,367.78
  6. Step 6: Final answer
    x = 11,031.55

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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.