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Finding the Fourth Proportional to 7,122.78, 10,684.14 and 1,928.64

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Solution

The fourth proportional to 7,122.78, 10,684.14 and 1,928.64 is: 2,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.78 : 10,684.14 = 1,928.64 : x
  2. Step 2: Convert to fraction form
    7,122.78/10,684.14 = 1,928.64/x
  3. Step 3: Cross multiply
    7,122.78x = 10,684.14 × 1,928.64
  4. Step 4: Simplify right side
    7,122.78x = 20,605,859.77
  5. Step 5: Solve for x
    x = 20,605,859.77/7,122.78
  6. Step 6: Final answer
    x = 2,892.95

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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.