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Finding the Fourth Proportional to 2,805.74, 4,207.24 and 1,603.46

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Solution

The fourth proportional to 2,805.74, 4,207.24 and 1,603.46 is: 2,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.74 : 4,207.24 = 1,603.46 : x
  2. Step 2: Convert to fraction form
    2,805.74/4,207.24 = 1,603.46/x
  3. Step 3: Cross multiply
    2,805.74x = 4,207.24 × 1,603.46
  4. Step 4: Simplify right side
    2,805.74x = 6,746,146.81
  5. Step 5: Solve for x
    x = 6,746,146.81/2,805.74
  6. Step 6: Final answer
    x = 2,404.41

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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.