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Finding the Fourth Proportional to 7,125, 10,687.50 and 2,508

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Solution

The fourth proportional to 7,125, 10,687.50 and 2,508 is: 3,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125 : 10,687.50 = 2,508 : x
  2. Step 2: Convert to fraction form
    7,125/10,687.50 = 2,508/x
  3. Step 3: Cross multiply
    7,125x = 10,687.50 × 2,508
  4. Step 4: Simplify right side
    7,125x = 26,804,250
  5. Step 5: Solve for x
    x = 26,804,250/7,125
  6. Step 6: Final answer
    x = 3,762

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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.