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Finding the Fourth Proportional to 2,714.24, 4,071.36 and 662.24

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Solution

The fourth proportional to 2,714.24, 4,071.36 and 662.24 is: 993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 4,071.36 = 662.24 : x
  2. Step 2: Convert to fraction form
    2,714.24/4,071.36 = 662.24/x
  3. Step 3: Cross multiply
    2,714.24x = 4,071.36 × 662.24
  4. Step 4: Simplify right side
    2,714.24x = 2,696,217.45
  5. Step 5: Solve for x
    x = 2,696,217.45/2,714.24
  6. Step 6: Final answer
    x = 993.36

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1.5x scale

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.