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Finding the Fourth Proportional to 2,886, 4,331.88 and 2,108.40

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Solution

The fourth proportional to 2,886, 4,331.88 and 2,108.40 is: 3,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886 : 4,331.88 = 2,108.40 : x
  2. Step 2: Convert to fraction form
    2,886/4,331.88 = 2,108.40/x
  3. Step 3: Cross multiply
    2,886x = 4,331.88 × 2,108.40
  4. Step 4: Simplify right side
    2,886x = 9,133,335.79
  5. Step 5: Solve for x
    x = 9,133,335.79/2,886
  6. Step 6: Final answer
    x = 3,164.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.