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Finding the Fourth Proportional to 1,310.02, 1,808.04 and 1,266.78

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Solution

The fourth proportional to 1,310.02, 1,808.04 and 1,266.78 is: 1,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.02 : 1,808.04 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    1,310.02/1,808.04 = 1,266.78/x
  3. Step 3: Cross multiply
    1,310.02x = 1,808.04 × 1,266.78
  4. Step 4: Simplify right side
    1,310.02x = 2,290,388.91
  5. Step 5: Solve for x
    x = 2,290,388.91/1,310.02
  6. Step 6: Final answer
    x = 1,748.36

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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.