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Finding the Fourth Proportional to 6,742.86, 9,305.16 and 3,718.32

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Solution

The fourth proportional to 6,742.86, 9,305.16 and 3,718.32 is: 5,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.86 : 9,305.16 = 3,718.32 : x
  2. Step 2: Convert to fraction form
    6,742.86/9,305.16 = 3,718.32/x
  3. Step 3: Cross multiply
    6,742.86x = 9,305.16 × 3,718.32
  4. Step 4: Simplify right side
    6,742.86x = 34,599,562.53
  5. Step 5: Solve for x
    x = 34,599,562.53/6,742.86
  6. Step 6: Final answer
    x = 5,131.29

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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.