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Finding the Fourth Proportional to 6,314.94, 8,712.93 and 4,078.13

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Solution

The fourth proportional to 6,314.94, 8,712.93 and 4,078.13 is: 5,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.94 : 8,712.93 = 4,078.13 : x
  2. Step 2: Convert to fraction form
    6,314.94/8,712.93 = 4,078.13/x
  3. Step 3: Cross multiply
    6,314.94x = 8,712.93 × 4,078.13
  4. Step 4: Simplify right side
    6,314.94x = 35,532,417.66
  5. Step 5: Solve for x
    x = 35,532,417.66/6,314.94
  6. Step 6: Final answer
    x = 5,626.72

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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.