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Finding the Fourth Proportional to 1,849.20, 2,772 and 678.87

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Solution

The fourth proportional to 1,849.20, 2,772 and 678.87 is: 1,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.20 : 2,772 = 678.87 : x
  2. Step 2: Convert to fraction form
    1,849.20/2,772 = 678.87/x
  3. Step 3: Cross multiply
    1,849.20x = 2,772 × 678.87
  4. Step 4: Simplify right side
    1,849.20x = 1,881,827.64
  5. Step 5: Solve for x
    x = 1,881,827.64/1,849.20
  6. Step 6: Final answer
    x = 1,017.64

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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.