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Finding the Fourth Proportional to 1,876.80, 2,814.64 and 953.44

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Solution

The fourth proportional to 1,876.80, 2,814.64 and 953.44 is: 1,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.80 : 2,814.64 = 953.44 : x
  2. Step 2: Convert to fraction form
    1,876.80/2,814.64 = 953.44/x
  3. Step 3: Cross multiply
    1,876.80x = 2,814.64 × 953.44
  4. Step 4: Simplify right side
    1,876.80x = 2,683,590.36
  5. Step 5: Solve for x
    x = 2,683,590.36/1,876.80
  6. Step 6: Final answer
    x = 1,429.88

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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.