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Finding the Fourth Proportional to 7,145.64, 10,695.78 and 6,873.48

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Solution

The fourth proportional to 7,145.64, 10,695.78 and 6,873.48 is: 10,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.64 : 10,695.78 = 6,873.48 : x
  2. Step 2: Convert to fraction form
    7,145.64/10,695.78 = 6,873.48/x
  3. Step 3: Cross multiply
    7,145.64x = 10,695.78 × 6,873.48
  4. Step 4: Simplify right side
    7,145.64x = 73,517,229.91
  5. Step 5: Solve for x
    x = 73,517,229.91/7,145.64
  6. Step 6: Final answer
    x = 10,288.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.