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Finding the Fourth Proportional to 7,109.68, 10,663.08 and 1,914.34

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Solution

The fourth proportional to 7,109.68, 10,663.08 and 1,914.34 is: 2,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.68 : 10,663.08 = 1,914.34 : x
  2. Step 2: Convert to fraction form
    7,109.68/10,663.08 = 1,914.34/x
  3. Step 3: Cross multiply
    7,109.68x = 10,663.08 × 1,914.34
  4. Step 4: Simplify right side
    7,109.68x = 20,412,760.57
  5. Step 5: Solve for x
    x = 20,412,760.57/7,109.68
  6. Step 6: Final answer
    x = 2,871.12

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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.