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Finding the Fourth Proportional to 1,312.72, 1,813.84 and 1,266

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Solution

The fourth proportional to 1,312.72, 1,813.84 and 1,266 is: 1,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.72 : 1,813.84 = 1,266 : x
  2. Step 2: Convert to fraction form
    1,312.72/1,813.84 = 1,266/x
  3. Step 3: Cross multiply
    1,312.72x = 1,813.84 × 1,266
  4. Step 4: Simplify right side
    1,312.72x = 2,296,321.44
  5. Step 5: Solve for x
    x = 2,296,321.44/1,312.72
  6. Step 6: Final answer
    x = 1,749.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.