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Finding the Fourth Proportional to 1,854.84, 2,778.48 and 1,487.64

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Solution

The fourth proportional to 1,854.84, 2,778.48 and 1,487.64 is: 2,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.84 : 2,778.48 = 1,487.64 : x
  2. Step 2: Convert to fraction form
    1,854.84/2,778.48 = 1,487.64/x
  3. Step 3: Cross multiply
    1,854.84x = 2,778.48 × 1,487.64
  4. Step 4: Simplify right side
    1,854.84x = 4,133,377.99
  5. Step 5: Solve for x
    x = 4,133,377.99/1,854.84
  6. Step 6: Final answer
    x = 2,228.43

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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.