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Finding the Fourth Proportional to 2,138.16, 2,950.92 and 1,353

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Solution

The fourth proportional to 2,138.16, 2,950.92 and 1,353 is: 1,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.16 : 2,950.92 = 1,353 : x
  2. Step 2: Convert to fraction form
    2,138.16/2,950.92 = 1,353/x
  3. Step 3: Cross multiply
    2,138.16x = 2,950.92 × 1,353
  4. Step 4: Simplify right side
    2,138.16x = 3,992,594.76
  5. Step 5: Solve for x
    x = 3,992,594.76/2,138.16
  6. Step 6: Final answer
    x = 1,867.30

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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.