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Finding the Fourth Proportional to 1,872.72, 2,808.14 and 777.38

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Solution

The fourth proportional to 1,872.72, 2,808.14 and 777.38 is: 1,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.72 : 2,808.14 = 777.38 : x
  2. Step 2: Convert to fraction form
    1,872.72/2,808.14 = 777.38/x
  3. Step 3: Cross multiply
    1,872.72x = 2,808.14 × 777.38
  4. Step 4: Simplify right side
    1,872.72x = 2,182,973.95
  5. Step 5: Solve for x
    x = 2,182,973.95/1,872.72
  6. Step 6: Final answer
    x = 1,165.67

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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.