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Finding the Fourth Proportional to 3,878.74, 5,817.08 and 1,686.95

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Solution

The fourth proportional to 3,878.74, 5,817.08 and 1,686.95 is: 2,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.74 : 5,817.08 = 1,686.95 : x
  2. Step 2: Convert to fraction form
    3,878.74/5,817.08 = 1,686.95/x
  3. Step 3: Cross multiply
    3,878.74x = 5,817.08 × 1,686.95
  4. Step 4: Simplify right side
    3,878.74x = 9,813,123.11
  5. Step 5: Solve for x
    x = 9,813,123.11/3,878.74
  6. Step 6: Final answer
    x = 2,529.98

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1.5x scale

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.