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Finding the Fourth Proportional to 7,220.76, 9,964.64 and 3,908.76

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Solution

The fourth proportional to 7,220.76, 9,964.64 and 3,908.76 is: 5,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.76 : 9,964.64 = 3,908.76 : x
  2. Step 2: Convert to fraction form
    7,220.76/9,964.64 = 3,908.76/x
  3. Step 3: Cross multiply
    7,220.76x = 9,964.64 × 3,908.76
  4. Step 4: Simplify right side
    7,220.76x = 38,949,386.25
  5. Step 5: Solve for x
    x = 38,949,386.25/7,220.76
  6. Step 6: Final answer
    x = 5,394.08

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Half scale
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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.