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Finding the Fourth Proportional to 1,993.47, 2,752.11 and 1,550.40

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Solution

The fourth proportional to 1,993.47, 2,752.11 and 1,550.40 is: 2,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.47 : 2,752.11 = 1,550.40 : x
  2. Step 2: Convert to fraction form
    1,993.47/2,752.11 = 1,550.40/x
  3. Step 3: Cross multiply
    1,993.47x = 2,752.11 × 1,550.40
  4. Step 4: Simplify right side
    1,993.47x = 4,266,871.34
  5. Step 5: Solve for x
    x = 4,266,871.34/1,993.47
  6. Step 6: Final answer
    x = 2,140.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.