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Finding the Fourth Proportional to 1,877.84, 2,814.36 and 781.68

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Solution

The fourth proportional to 1,877.84, 2,814.36 and 781.68 is: 1,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.84 : 2,814.36 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,877.84/2,814.36 = 781.68/x
  3. Step 3: Cross multiply
    1,877.84x = 2,814.36 × 781.68
  4. Step 4: Simplify right side
    1,877.84x = 2,199,928.92
  5. Step 5: Solve for x
    x = 2,199,928.92/1,877.84
  6. Step 6: Final answer
    x = 1,171.52

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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.