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Finding the Fourth Proportional to 51,646.44, 71,274.42 and 40,449

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Solution

The fourth proportional to 51,646.44, 71,274.42 and 40,449 is: 55,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.44 : 71,274.42 = 40,449 : x
  2. Step 2: Convert to fraction form
    51,646.44/71,274.42 = 40,449/x
  3. Step 3: Cross multiply
    51,646.44x = 71,274.42 × 40,449
  4. Step 4: Simplify right side
    51,646.44x = 2,882,979,014.58
  5. Step 5: Solve for x
    x = 2,882,979,014.58/51,646.44
  6. Step 6: Final answer
    x = 55,821.45

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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.