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Finding the Fourth Proportional to 7,952.80, 10,967.52 and 4,967.68

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Solution

The fourth proportional to 7,952.80, 10,967.52 and 4,967.68 is: 6,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.80 : 10,967.52 = 4,967.68 : x
  2. Step 2: Convert to fraction form
    7,952.80/10,967.52 = 4,967.68/x
  3. Step 3: Cross multiply
    7,952.80x = 10,967.52 × 4,967.68
  4. Step 4: Simplify right side
    7,952.80x = 54,483,129.75
  5. Step 5: Solve for x
    x = 54,483,129.75/7,952.80
  6. Step 6: Final answer
    x = 6,850.81

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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.