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Finding the Fourth Proportional to 7,135, 10,700.98 and 2,751

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Solution

The fourth proportional to 7,135, 10,700.98 and 2,751 is: 4,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135 : 10,700.98 = 2,751 : x
  2. Step 2: Convert to fraction form
    7,135/10,700.98 = 2,751/x
  3. Step 3: Cross multiply
    7,135x = 10,700.98 × 2,751
  4. Step 4: Simplify right side
    7,135x = 29,438,395.98
  5. Step 5: Solve for x
    x = 29,438,395.98/7,135
  6. Step 6: Final answer
    x = 4,125.91

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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.