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Finding the Fourth Proportional to 2,407.70, 3,603.55 and 1,747.70

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Solution

The fourth proportional to 2,407.70, 3,603.55 and 1,747.70 is: 2,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.70 : 3,603.55 = 1,747.70 : x
  2. Step 2: Convert to fraction form
    2,407.70/3,603.55 = 1,747.70/x
  3. Step 3: Cross multiply
    2,407.70x = 3,603.55 × 1,747.70
  4. Step 4: Simplify right side
    2,407.70x = 6,297,924.34
  5. Step 5: Solve for x
    x = 6,297,924.34/2,407.70
  6. Step 6: Final answer
    x = 2,615.74

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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.