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Finding the Fourth Proportional to 7,114.86, 9,819.16 and 3,928.73

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Solution

The fourth proportional to 7,114.86, 9,819.16 and 3,928.73 is: 5,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.86 : 9,819.16 = 3,928.73 : x
  2. Step 2: Convert to fraction form
    7,114.86/9,819.16 = 3,928.73/x
  3. Step 3: Cross multiply
    7,114.86x = 9,819.16 × 3,928.73
  4. Step 4: Simplify right side
    7,114.86x = 38,576,828.47
  5. Step 5: Solve for x
    x = 38,576,828.47/7,114.86
  6. Step 6: Final answer
    x = 5,422.01

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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.