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Finding the Fourth Proportional to 1,474.80, 2,214.72 and 1,310.64

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Solution

The fourth proportional to 1,474.80, 2,214.72 and 1,310.64 is: 1,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.80 : 2,214.72 = 1,310.64 : x
  2. Step 2: Convert to fraction form
    1,474.80/2,214.72 = 1,310.64/x
  3. Step 3: Cross multiply
    1,474.80x = 2,214.72 × 1,310.64
  4. Step 4: Simplify right side
    1,474.80x = 2,902,700.62
  5. Step 5: Solve for x
    x = 2,902,700.62/1,474.80
  6. Step 6: Final answer
    x = 1,968.20

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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.