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Finding the Fourth Proportional to 2,062.89, 2,847.42 and 1,539.63

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Solution

The fourth proportional to 2,062.89, 2,847.42 and 1,539.63 is: 2,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.89 : 2,847.42 = 1,539.63 : x
  2. Step 2: Convert to fraction form
    2,062.89/2,847.42 = 1,539.63/x
  3. Step 3: Cross multiply
    2,062.89x = 2,847.42 × 1,539.63
  4. Step 4: Simplify right side
    2,062.89x = 4,383,973.25
  5. Step 5: Solve for x
    x = 4,383,973.25/2,062.89
  6. Step 6: Final answer
    x = 2,125.16

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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.