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Finding the Fourth Proportional to 3,798.10, 5,691.66 and 1,603.81

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Solution

The fourth proportional to 3,798.10, 5,691.66 and 1,603.81 is: 2,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.10 : 5,691.66 = 1,603.81 : x
  2. Step 2: Convert to fraction form
    3,798.10/5,691.66 = 1,603.81/x
  3. Step 3: Cross multiply
    3,798.10x = 5,691.66 × 1,603.81
  4. Step 4: Simplify right side
    3,798.10x = 9,128,341.22
  5. Step 5: Solve for x
    x = 9,128,341.22/3,798.10
  6. Step 6: Final answer
    x = 2,403.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.