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Finding the Fourth Proportional to 2,596.65, 3,894.87 and 1,209.51

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Solution

The fourth proportional to 2,596.65, 3,894.87 and 1,209.51 is: 1,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.65 : 3,894.87 = 1,209.51 : x
  2. Step 2: Convert to fraction form
    2,596.65/3,894.87 = 1,209.51/x
  3. Step 3: Cross multiply
    2,596.65x = 3,894.87 × 1,209.51
  4. Step 4: Simplify right side
    2,596.65x = 4,710,878.17
  5. Step 5: Solve for x
    x = 4,710,878.17/2,596.65
  6. Step 6: Final answer
    x = 1,814.21

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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.