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Finding the Fourth Proportional to 6,314.66, 8,712.12 and 4,078.05

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Solution

The fourth proportional to 6,314.66, 8,712.12 and 4,078.05 is: 5,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.66 : 8,712.12 = 4,078.05 : x
  2. Step 2: Convert to fraction form
    6,314.66/8,712.12 = 4,078.05/x
  3. Step 3: Cross multiply
    6,314.66x = 8,712.12 × 4,078.05
  4. Step 4: Simplify right side
    6,314.66x = 35,528,460.97
  5. Step 5: Solve for x
    x = 35,528,460.97/6,314.66
  6. Step 6: Final answer
    x = 5,626.35

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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.