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Finding the Fourth Proportional to 3,758.54, 5,186.43 and 2,165.47

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Solution

The fourth proportional to 3,758.54, 5,186.43 and 2,165.47 is: 2,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.54 : 5,186.43 = 2,165.47 : x
  2. Step 2: Convert to fraction form
    3,758.54/5,186.43 = 2,165.47/x
  3. Step 3: Cross multiply
    3,758.54x = 5,186.43 × 2,165.47
  4. Step 4: Simplify right side
    3,758.54x = 11,231,045.61
  5. Step 5: Solve for x
    x = 11,231,045.61/3,758.54
  6. Step 6: Final answer
    x = 2,988.14

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1.5x scale

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.