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Finding the Fourth Proportional to 2,166.83, 2,987.11 and 1,544.75

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Solution

The fourth proportional to 2,166.83, 2,987.11 and 1,544.75 is: 2,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.83 : 2,987.11 = 1,544.75 : x
  2. Step 2: Convert to fraction form
    2,166.83/2,987.11 = 1,544.75/x
  3. Step 3: Cross multiply
    2,166.83x = 2,987.11 × 1,544.75
  4. Step 4: Simplify right side
    2,166.83x = 4,614,338.17
  5. Step 5: Solve for x
    x = 4,614,338.17/2,166.83
  6. Step 6: Final answer
    x = 2,129.53

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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.