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Finding the Fourth Proportional to 2,363.12, 3,261.72 and 1,369

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Solution

The fourth proportional to 2,363.12, 3,261.72 and 1,369 is: 1,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.12 : 3,261.72 = 1,369 : x
  2. Step 2: Convert to fraction form
    2,363.12/3,261.72 = 1,369/x
  3. Step 3: Cross multiply
    2,363.12x = 3,261.72 × 1,369
  4. Step 4: Simplify right side
    2,363.12x = 4,465,294.68
  5. Step 5: Solve for x
    x = 4,465,294.68/2,363.12
  6. Step 6: Final answer
    x = 1,889.58

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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.