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Finding the Fourth Proportional to 1,977.43, 2,967.06 and 881.68

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Solution

The fourth proportional to 1,977.43, 2,967.06 and 881.68 is: 1,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.43 : 2,967.06 = 881.68 : x
  2. Step 2: Convert to fraction form
    1,977.43/2,967.06 = 881.68/x
  3. Step 3: Cross multiply
    1,977.43x = 2,967.06 × 881.68
  4. Step 4: Simplify right side
    1,977.43x = 2,615,982.63
  5. Step 5: Solve for x
    x = 2,615,982.63/1,977.43
  6. Step 6: Final answer
    x = 1,322.92

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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.