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Finding the Fourth Proportional to 3,878.69, 5,817.01 and 1,686.92

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Solution

The fourth proportional to 3,878.69, 5,817.01 and 1,686.92 is: 2,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.69 : 5,817.01 = 1,686.92 : x
  2. Step 2: Convert to fraction form
    3,878.69/5,817.01 = 1,686.92/x
  3. Step 3: Cross multiply
    3,878.69x = 5,817.01 × 1,686.92
  4. Step 4: Simplify right side
    3,878.69x = 9,812,830.51
  5. Step 5: Solve for x
    x = 9,812,830.51/3,878.69
  6. Step 6: Final answer
    x = 2,529.93

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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.