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Finding the Fourth Proportional to 2,185.38, 3,014.01 and 1,400.49

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Solution

The fourth proportional to 2,185.38, 3,014.01 and 1,400.49 is: 1,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.38 : 3,014.01 = 1,400.49 : x
  2. Step 2: Convert to fraction form
    2,185.38/3,014.01 = 1,400.49/x
  3. Step 3: Cross multiply
    2,185.38x = 3,014.01 × 1,400.49
  4. Step 4: Simplify right side
    2,185.38x = 4,221,090.86
  5. Step 5: Solve for x
    x = 4,221,090.86/2,185.38
  6. Step 6: Final answer
    x = 1,931.51

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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.