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Finding the Fourth Proportional to 2,886.31, 4,309.97 and 2,869.03

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Solution

The fourth proportional to 2,886.31, 4,309.97 and 2,869.03 is: 4,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.31 : 4,309.97 = 2,869.03 : x
  2. Step 2: Convert to fraction form
    2,886.31/4,309.97 = 2,869.03/x
  3. Step 3: Cross multiply
    2,886.31x = 4,309.97 × 2,869.03
  4. Step 4: Simplify right side
    2,886.31x = 12,365,433.23
  5. Step 5: Solve for x
    x = 12,365,433.23/2,886.31
  6. Step 6: Final answer
    x = 4,284.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.