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Finding the Fourth Proportional to 7,134.95, 10,699.42 and 2,138.03

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Solution

The fourth proportional to 7,134.95, 10,699.42 and 2,138.03 is: 3,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.95 : 10,699.42 = 2,138.03 : x
  2. Step 2: Convert to fraction form
    7,134.95/10,699.42 = 2,138.03/x
  3. Step 3: Cross multiply
    7,134.95x = 10,699.42 × 2,138.03
  4. Step 4: Simplify right side
    7,134.95x = 22,875,722.41
  5. Step 5: Solve for x
    x = 22,875,722.41/7,134.95
  6. Step 6: Final answer
    x = 3,206.15

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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.