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Finding the Fourth Proportional to 6,314.42, 8,712.14 and 4,076.40

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Solution

The fourth proportional to 6,314.42, 8,712.14 and 4,076.40 is: 5,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.42 : 8,712.14 = 4,076.40 : x
  2. Step 2: Convert to fraction form
    6,314.42/8,712.14 = 4,076.40/x
  3. Step 3: Cross multiply
    6,314.42x = 8,712.14 × 4,076.40
  4. Step 4: Simplify right side
    6,314.42x = 35,514,167.50
  5. Step 5: Solve for x
    x = 35,514,167.50/6,314.42
  6. Step 6: Final answer
    x = 5,624.30

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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.