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Finding the Fourth Proportional to 2,731.68, 4,097.79 and 784.17

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Solution

The fourth proportional to 2,731.68, 4,097.79 and 784.17 is: 1,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.68 : 4,097.79 = 784.17 : x
  2. Step 2: Convert to fraction form
    2,731.68/4,097.79 = 784.17/x
  3. Step 3: Cross multiply
    2,731.68x = 4,097.79 × 784.17
  4. Step 4: Simplify right side
    2,731.68x = 3,213,363.98
  5. Step 5: Solve for x
    x = 3,213,363.98/2,731.68
  6. Step 6: Final answer
    x = 1,176.33

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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.