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Finding the Fourth Proportional to 2,878.54, 4,320.78 and 2,551.51

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Solution

The fourth proportional to 2,878.54, 4,320.78 and 2,551.51 is: 3,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.54 : 4,320.78 = 2,551.51 : x
  2. Step 2: Convert to fraction form
    2,878.54/4,320.78 = 2,551.51/x
  3. Step 3: Cross multiply
    2,878.54x = 4,320.78 × 2,551.51
  4. Step 4: Simplify right side
    2,878.54x = 11,024,513.38
  5. Step 5: Solve for x
    x = 11,024,513.38/2,878.54
  6. Step 6: Final answer
    x = 3,829.90

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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.