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Finding the Fourth Proportional to 2,166.96, 2,987.50 and 1,420.65

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Solution

The fourth proportional to 2,166.96, 2,987.50 and 1,420.65 is: 1,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 2,987.50 = 1,420.65 : x
  2. Step 2: Convert to fraction form
    2,166.96/2,987.50 = 1,420.65/x
  3. Step 3: Cross multiply
    2,166.96x = 2,987.50 × 1,420.65
  4. Step 4: Simplify right side
    2,166.96x = 4,244,191.88
  5. Step 5: Solve for x
    x = 4,244,191.88/2,166.96
  6. Step 6: Final answer
    x = 1,958.59

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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.