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Finding the Fourth Proportional to 2,878.95, 4,314 and 1,706.61

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Solution

The fourth proportional to 2,878.95, 4,314 and 1,706.61 is: 2,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.95 : 4,314 = 1,706.61 : x
  2. Step 2: Convert to fraction form
    2,878.95/4,314 = 1,706.61/x
  3. Step 3: Cross multiply
    2,878.95x = 4,314 × 1,706.61
  4. Step 4: Simplify right side
    2,878.95x = 7,362,315.54
  5. Step 5: Solve for x
    x = 7,362,315.54/2,878.95
  6. Step 6: Final answer
    x = 2,557.29

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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.