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Finding the Fourth Proportional to 2,596.60, 3,894.76 and 1,209.43

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Solution

The fourth proportional to 2,596.60, 3,894.76 and 1,209.43 is: 1,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.60 : 3,894.76 = 1,209.43 : x
  2. Step 2: Convert to fraction form
    2,596.60/3,894.76 = 1,209.43/x
  3. Step 3: Cross multiply
    2,596.60x = 3,894.76 × 1,209.43
  4. Step 4: Simplify right side
    2,596.60x = 4,710,439.59
  5. Step 5: Solve for x
    x = 4,710,439.59/2,596.60
  6. Step 6: Final answer
    x = 1,814.08

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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.