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Finding the Fourth Proportional to 1,877.65, 2,816.12 and 781.72

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Solution

The fourth proportional to 1,877.65, 2,816.12 and 781.72 is: 1,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.65 : 2,816.12 = 781.72 : x
  2. Step 2: Convert to fraction form
    1,877.65/2,816.12 = 781.72/x
  3. Step 3: Cross multiply
    1,877.65x = 2,816.12 × 781.72
  4. Step 4: Simplify right side
    1,877.65x = 2,201,412.24
  5. Step 5: Solve for x
    x = 2,201,412.24/1,877.65
  6. Step 6: Final answer
    x = 1,172.43

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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.