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Finding the Fourth Proportional to 5,714.70, 7,886.24 and 3,196.80

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Solution

The fourth proportional to 5,714.70, 7,886.24 and 3,196.80 is: 4,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.70 : 7,886.24 = 3,196.80 : x
  2. Step 2: Convert to fraction form
    5,714.70/7,886.24 = 3,196.80/x
  3. Step 3: Cross multiply
    5,714.70x = 7,886.24 × 3,196.80
  4. Step 4: Simplify right side
    5,714.70x = 25,210,728.04
  5. Step 5: Solve for x
    x = 25,210,728.04/5,714.70
  6. Step 6: Final answer
    x = 4,411.56

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1.5x scale

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.