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Finding the Fourth Proportional to 1,888.08, 2,832.09 and 777.27

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Solution

The fourth proportional to 1,888.08, 2,832.09 and 777.27 is: 1,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.08 : 2,832.09 = 777.27 : x
  2. Step 2: Convert to fraction form
    1,888.08/2,832.09 = 777.27/x
  3. Step 3: Cross multiply
    1,888.08x = 2,832.09 × 777.27
  4. Step 4: Simplify right side
    1,888.08x = 2,201,298.59
  5. Step 5: Solve for x
    x = 2,201,298.59/1,888.08
  6. Step 6: Final answer
    x = 1,165.89

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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.