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Finding the Fourth Proportional to 7,115.70, 9,819.78 and 3,929.06

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Solution

The fourth proportional to 7,115.70, 9,819.78 and 3,929.06 is: 5,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.70 : 9,819.78 = 3,929.06 : x
  2. Step 2: Convert to fraction form
    7,115.70/9,819.78 = 3,929.06/x
  3. Step 3: Cross multiply
    7,115.70x = 9,819.78 × 3,929.06
  4. Step 4: Simplify right side
    7,115.70x = 38,582,504.81
  5. Step 5: Solve for x
    x = 38,582,504.81/7,115.70
  6. Step 6: Final answer
    x = 5,422.17

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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.