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Finding the Fourth Proportional to 6,712.86, 9,264.21 and 3,880.74

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Solution

The fourth proportional to 6,712.86, 9,264.21 and 3,880.74 is: 5,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.86 : 9,264.21 = 3,880.74 : x
  2. Step 2: Convert to fraction form
    6,712.86/9,264.21 = 3,880.74/x
  3. Step 3: Cross multiply
    6,712.86x = 9,264.21 × 3,880.74
  4. Step 4: Simplify right side
    6,712.86x = 35,951,990.32
  5. Step 5: Solve for x
    x = 35,951,990.32/6,712.86
  6. Step 6: Final answer
    x = 5,355.69

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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.