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Finding the Fourth Proportional to 2,658, 3,669.12 and 1,727.04

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Solution

The fourth proportional to 2,658, 3,669.12 and 1,727.04 is: 2,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658 : 3,669.12 = 1,727.04 : x
  2. Step 2: Convert to fraction form
    2,658/3,669.12 = 1,727.04/x
  3. Step 3: Cross multiply
    2,658x = 3,669.12 × 1,727.04
  4. Step 4: Simplify right side
    2,658x = 6,336,717.00
  5. Step 5: Solve for x
    x = 6,336,717.00/2,658
  6. Step 6: Final answer
    x = 2,384.02

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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.