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Finding the Fourth Proportional to 2,072.50, 3,108.62 and 840

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Solution

The fourth proportional to 2,072.50, 3,108.62 and 840 is: 1,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.50 : 3,108.62 = 840 : x
  2. Step 2: Convert to fraction form
    2,072.50/3,108.62 = 840/x
  3. Step 3: Cross multiply
    2,072.50x = 3,108.62 × 840
  4. Step 4: Simplify right side
    2,072.50x = 2,611,236.60
  5. Step 5: Solve for x
    x = 2,611,236.60/2,072.50
  6. Step 6: Final answer
    x = 1,259.95

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Why These Related Problems?

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