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Finding the Fourth Proportional to 2,596.55, 3,893.10 and 1,209.13

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Solution

The fourth proportional to 2,596.55, 3,893.10 and 1,209.13 is: 1,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.55 : 3,893.10 = 1,209.13 : x
  2. Step 2: Convert to fraction form
    2,596.55/3,893.10 = 1,209.13/x
  3. Step 3: Cross multiply
    2,596.55x = 3,893.10 × 1,209.13
  4. Step 4: Simplify right side
    2,596.55x = 4,707,264.00
  5. Step 5: Solve for x
    x = 4,707,264.00/2,596.55
  6. Step 6: Final answer
    x = 1,812.89

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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.