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Finding the Fourth Proportional to 2,166.78, 2,987.64 and 2,050.05

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Solution

The fourth proportional to 2,166.78, 2,987.64 and 2,050.05 is: 2,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.78 : 2,987.64 = 2,050.05 : x
  2. Step 2: Convert to fraction form
    2,166.78/2,987.64 = 2,050.05/x
  3. Step 3: Cross multiply
    2,166.78x = 2,987.64 × 2,050.05
  4. Step 4: Simplify right side
    2,166.78x = 6,124,811.38
  5. Step 5: Solve for x
    x = 6,124,811.38/2,166.78
  6. Step 6: Final answer
    x = 2,826.69

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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.