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Finding the Fourth Proportional to 2,403.07, 3,603.72 and 842.65

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Solution

The fourth proportional to 2,403.07, 3,603.72 and 842.65 is: 1,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.07 : 3,603.72 = 842.65 : x
  2. Step 2: Convert to fraction form
    2,403.07/3,603.72 = 842.65/x
  3. Step 3: Cross multiply
    2,403.07x = 3,603.72 × 842.65
  4. Step 4: Simplify right side
    2,403.07x = 3,036,674.66
  5. Step 5: Solve for x
    x = 3,036,674.66/2,403.07
  6. Step 6: Final answer
    x = 1,263.66

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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.