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Finding the Fourth Proportional to 3,649, 5,036.54 and 2,078.01

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Solution

The fourth proportional to 3,649, 5,036.54 and 2,078.01 is: 2,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649 : 5,036.54 = 2,078.01 : x
  2. Step 2: Convert to fraction form
    3,649/5,036.54 = 2,078.01/x
  3. Step 3: Cross multiply
    3,649x = 5,036.54 × 2,078.01
  4. Step 4: Simplify right side
    3,649x = 10,465,980.49
  5. Step 5: Solve for x
    x = 10,465,980.49/3,649
  6. Step 6: Final answer
    x = 2,868.18

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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.