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Finding the Fourth Proportional to 2,878.29, 3,972.11 and 1,698.93

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Solution

The fourth proportional to 2,878.29, 3,972.11 and 1,698.93 is: 2,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.29 : 3,972.11 = 1,698.93 : x
  2. Step 2: Convert to fraction form
    2,878.29/3,972.11 = 1,698.93/x
  3. Step 3: Cross multiply
    2,878.29x = 3,972.11 × 1,698.93
  4. Step 4: Simplify right side
    2,878.29x = 6,748,328.35
  5. Step 5: Solve for x
    x = 6,748,328.35/2,878.29
  6. Step 6: Final answer
    x = 2,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.