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Finding the Fourth Proportional to 1,944.90, 2,914.61 and 846.95

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Solution

The fourth proportional to 1,944.90, 2,914.61 and 846.95 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.90 : 2,914.61 = 846.95 : x
  2. Step 2: Convert to fraction form
    1,944.90/2,914.61 = 846.95/x
  3. Step 3: Cross multiply
    1,944.90x = 2,914.61 × 846.95
  4. Step 4: Simplify right side
    1,944.90x = 2,468,510.13
  5. Step 5: Solve for x
    x = 2,468,510.13/1,944.90
  6. Step 6: Final answer
    x = 1,269.22

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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.