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Finding the Fourth Proportional to 5,714.47, 7,887.05 and 3,230.47

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Solution

The fourth proportional to 5,714.47, 7,887.05 and 3,230.47 is: 4,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.47 : 7,887.05 = 3,230.47 : x
  2. Step 2: Convert to fraction form
    5,714.47/7,887.05 = 3,230.47/x
  3. Step 3: Cross multiply
    5,714.47x = 7,887.05 × 3,230.47
  4. Step 4: Simplify right side
    5,714.47x = 25,478,878.41
  5. Step 5: Solve for x
    x = 25,478,878.41/5,714.47
  6. Step 6: Final answer
    x = 4,458.66

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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.