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Finding the Fourth Proportional to 7,164.24, 10,752.12 and 7,129.68

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Solution

The fourth proportional to 7,164.24, 10,752.12 and 7,129.68 is: 10,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.24 : 10,752.12 = 7,129.68 : x
  2. Step 2: Convert to fraction form
    7,164.24/10,752.12 = 7,129.68/x
  3. Step 3: Cross multiply
    7,164.24x = 10,752.12 × 7,129.68
  4. Step 4: Simplify right side
    7,164.24x = 76,659,174.92
  5. Step 5: Solve for x
    x = 76,659,174.92/7,164.24
  6. Step 6: Final answer
    x = 10,700.25

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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.