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Finding the Fourth Proportional to 2,878.71, 3,970.17 and 2,319

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Solution

The fourth proportional to 2,878.71, 3,970.17 and 2,319 is: 3,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.71 : 3,970.17 = 2,319 : x
  2. Step 2: Convert to fraction form
    2,878.71/3,970.17 = 2,319/x
  3. Step 3: Cross multiply
    2,878.71x = 3,970.17 × 2,319
  4. Step 4: Simplify right side
    2,878.71x = 9,206,824.23
  5. Step 5: Solve for x
    x = 9,206,824.23/2,878.71
  6. Step 6: Final answer
    x = 3,198.25

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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.