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Finding the Fourth Proportional to 14,646.90, 21,979.80 and 8,077.80

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Solution

The fourth proportional to 14,646.90, 21,979.80 and 8,077.80 is: 12,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.90 : 21,979.80 = 8,077.80 : x
  2. Step 2: Convert to fraction form
    14,646.90/21,979.80 = 8,077.80/x
  3. Step 3: Cross multiply
    14,646.90x = 21,979.80 × 8,077.80
  4. Step 4: Simplify right side
    14,646.90x = 177,548,428.44
  5. Step 5: Solve for x
    x = 177,548,428.44/14,646.90
  6. Step 6: Final answer
    x = 12,121.91

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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.