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Finding the Fourth Proportional to 2,403.74, 3,603.35 and 842.74

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Solution

The fourth proportional to 2,403.74, 3,603.35 and 842.74 is: 1,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.74 : 3,603.35 = 842.74 : x
  2. Step 2: Convert to fraction form
    2,403.74/3,603.35 = 842.74/x
  3. Step 3: Cross multiply
    2,403.74x = 3,603.35 × 842.74
  4. Step 4: Simplify right side
    2,403.74x = 3,036,680.28
  5. Step 5: Solve for x
    x = 3,036,680.28/2,403.74
  6. Step 6: Final answer
    x = 1,263.31

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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.