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Finding the Fourth Proportional to 1,670.91, 2,506.22 and 1,310.06

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Solution

The fourth proportional to 1,670.91, 2,506.22 and 1,310.06 is: 1,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.91 : 2,506.22 = 1,310.06 : x
  2. Step 2: Convert to fraction form
    1,670.91/2,506.22 = 1,310.06/x
  3. Step 3: Cross multiply
    1,670.91x = 2,506.22 × 1,310.06
  4. Step 4: Simplify right side
    1,670.91x = 3,283,279.49
  5. Step 5: Solve for x
    x = 3,283,279.49/1,670.91
  6. Step 6: Final answer
    x = 1,964.96

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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.