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Finding the Fourth Proportional to 14,782.90, 20,399.88 and 8,811.47

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Solution

The fourth proportional to 14,782.90, 20,399.88 and 8,811.47 is: 12,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.90 : 20,399.88 = 8,811.47 : x
  2. Step 2: Convert to fraction form
    14,782.90/20,399.88 = 8,811.47/x
  3. Step 3: Cross multiply
    14,782.90x = 20,399.88 × 8,811.47
  4. Step 4: Simplify right side
    14,782.90x = 179,752,930.62
  5. Step 5: Solve for x
    x = 179,752,930.62/14,782.90
  6. Step 6: Final answer
    x = 12,159.52

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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.