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Finding the Fourth Proportional to 7,952.77, 11,929.16 and 2,109.84

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Solution

The fourth proportional to 7,952.77, 11,929.16 and 2,109.84 is: 3,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.77 : 11,929.16 = 2,109.84 : x
  2. Step 2: Convert to fraction form
    7,952.77/11,929.16 = 2,109.84/x
  3. Step 3: Cross multiply
    7,952.77x = 11,929.16 × 2,109.84
  4. Step 4: Simplify right side
    7,952.77x = 25,168,618.93
  5. Step 5: Solve for x
    x = 25,168,618.93/7,952.77
  6. Step 6: Final answer
    x = 3,164.76

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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.