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Finding the Fourth Proportional to 2,637.21, 3,956.61 and 788.39

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Solution

The fourth proportional to 2,637.21, 3,956.61 and 788.39 is: 1,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.21 : 3,956.61 = 788.39 : x
  2. Step 2: Convert to fraction form
    2,637.21/3,956.61 = 788.39/x
  3. Step 3: Cross multiply
    2,637.21x = 3,956.61 × 788.39
  4. Step 4: Simplify right side
    2,637.21x = 3,119,351.76
  5. Step 5: Solve for x
    x = 3,119,351.76/2,637.21
  6. Step 6: Final answer
    x = 1,182.82

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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.