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Finding the Fourth Proportional to 2,877.62, 3,972.74 and 2,309.00

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Solution

The fourth proportional to 2,877.62, 3,972.74 and 2,309.00 is: 3,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.62 : 3,972.74 = 2,309.00 : x
  2. Step 2: Convert to fraction form
    2,877.62/3,972.74 = 2,309.00/x
  3. Step 3: Cross multiply
    2,877.62x = 3,972.74 × 2,309.00
  4. Step 4: Simplify right side
    2,877.62x = 9,173,025.25
  5. Step 5: Solve for x
    x = 9,173,025.25/2,877.62
  6. Step 6: Final answer
    x = 3,187.72

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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.