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Finding the Fourth Proportional to 7,147.84, 10,721.76 and 1,953.76

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Solution

The fourth proportional to 7,147.84, 10,721.76 and 1,953.76 is: 2,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.84 : 10,721.76 = 1,953.76 : x
  2. Step 2: Convert to fraction form
    7,147.84/10,721.76 = 1,953.76/x
  3. Step 3: Cross multiply
    7,147.84x = 10,721.76 × 1,953.76
  4. Step 4: Simplify right side
    7,147.84x = 20,947,745.82
  5. Step 5: Solve for x
    x = 20,947,745.82/7,147.84
  6. Step 6: Final answer
    x = 2,930.64

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Similar ratio
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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.