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Finding the Fourth Proportional to 19,954.80, 29,934.12 and 7,478.64

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Solution

The fourth proportional to 19,954.80, 29,934.12 and 7,478.64 is: 11,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954.80 : 29,934.12 = 7,478.64 : x
  2. Step 2: Convert to fraction form
    19,954.80/29,934.12 = 7,478.64/x
  3. Step 3: Cross multiply
    19,954.80x = 29,934.12 × 7,478.64
  4. Step 4: Simplify right side
    19,954.80x = 223,866,507.20
  5. Step 5: Solve for x
    x = 223,866,507.20/19,954.80
  6. Step 6: Final answer
    x = 11,218.68

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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.