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Finding the Fourth Proportional to 7,108.76, 10,663.14 and 1,914.50

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Solution

The fourth proportional to 7,108.76, 10,663.14 and 1,914.50 is: 2,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.76 : 10,663.14 = 1,914.50 : x
  2. Step 2: Convert to fraction form
    7,108.76/10,663.14 = 1,914.50/x
  3. Step 3: Cross multiply
    7,108.76x = 10,663.14 × 1,914.50
  4. Step 4: Simplify right side
    7,108.76x = 20,414,581.53
  5. Step 5: Solve for x
    x = 20,414,581.53/7,108.76
  6. Step 6: Final answer
    x = 2,871.75

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1.5x scale

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.