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Finding the Fourth Proportional to 1,847.71, 2,772.97 and 678.82

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Solution

The fourth proportional to 1,847.71, 2,772.97 and 678.82 is: 1,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.71 : 2,772.97 = 678.82 : x
  2. Step 2: Convert to fraction form
    1,847.71/2,772.97 = 678.82/x
  3. Step 3: Cross multiply
    1,847.71x = 2,772.97 × 678.82
  4. Step 4: Simplify right side
    1,847.71x = 1,882,341.41
  5. Step 5: Solve for x
    x = 1,882,341.41/1,847.71
  6. Step 6: Final answer
    x = 1,018.74

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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.