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Finding the Fourth Proportional to 2,559.96, 3,840.90 and 2,070.92

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Solution

The fourth proportional to 2,559.96, 3,840.90 and 2,070.92 is: 3,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.96 : 3,840.90 = 2,070.92 : x
  2. Step 2: Convert to fraction form
    2,559.96/3,840.90 = 2,070.92/x
  3. Step 3: Cross multiply
    2,559.96x = 3,840.90 × 2,070.92
  4. Step 4: Simplify right side
    2,559.96x = 7,954,196.63
  5. Step 5: Solve for x
    x = 7,954,196.63/2,559.96
  6. Step 6: Final answer
    x = 3,107.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.