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Finding the Fourth Proportional to 6,314.25, 8,714.40 and 3,661.74

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Solution

The fourth proportional to 6,314.25, 8,714.40 and 3,661.74 is: 5,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.25 : 8,714.40 = 3,661.74 : x
  2. Step 2: Convert to fraction form
    6,314.25/8,714.40 = 3,661.74/x
  3. Step 3: Cross multiply
    6,314.25x = 8,714.40 × 3,661.74
  4. Step 4: Simplify right side
    6,314.25x = 31,909,867.06
  5. Step 5: Solve for x
    x = 31,909,867.06/6,314.25
  6. Step 6: Final answer
    x = 5,053.63

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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.