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Finding the Fourth Proportional to 2,507.76, 3,756.78 and 1,408.77

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Solution

The fourth proportional to 2,507.76, 3,756.78 and 1,408.77 is: 2,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.76 : 3,756.78 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    2,507.76/3,756.78 = 1,408.77/x
  3. Step 3: Cross multiply
    2,507.76x = 3,756.78 × 1,408.77
  4. Step 4: Simplify right side
    2,507.76x = 5,292,438.96
  5. Step 5: Solve for x
    x = 5,292,438.96/2,507.76
  6. Step 6: Final answer
    x = 2,110.42

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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.