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Finding the Fourth Proportional to 1,877.99, 2,816.37 and 782.06

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Solution

The fourth proportional to 1,877.99, 2,816.37 and 782.06 is: 1,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.99 : 2,816.37 = 782.06 : x
  2. Step 2: Convert to fraction form
    1,877.99/2,816.37 = 782.06/x
  3. Step 3: Cross multiply
    1,877.99x = 2,816.37 × 782.06
  4. Step 4: Simplify right side
    1,877.99x = 2,202,556.24
  5. Step 5: Solve for x
    x = 2,202,556.24/1,877.99
  6. Step 6: Final answer
    x = 1,172.83

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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.