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Finding the Fourth Proportional to 7,145.64, 10,631.97 and 6,967.08

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Solution

The fourth proportional to 7,145.64, 10,631.97 and 6,967.08 is: 10,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.64 : 10,631.97 = 6,967.08 : x
  2. Step 2: Convert to fraction form
    7,145.64/10,631.97 = 6,967.08/x
  3. Step 3: Cross multiply
    7,145.64x = 10,631.97 × 6,967.08
  4. Step 4: Simplify right side
    7,145.64x = 74,073,785.55
  5. Step 5: Solve for x
    x = 74,073,785.55/7,145.64
  6. Step 6: Final answer
    x = 10,366.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.