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Finding the Fourth Proportional to 5,282.28, 7,928.10 and 2,686.68

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Solution

The fourth proportional to 5,282.28, 7,928.10 and 2,686.68 is: 4,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.28 : 7,928.10 = 2,686.68 : x
  2. Step 2: Convert to fraction form
    5,282.28/7,928.10 = 2,686.68/x
  3. Step 3: Cross multiply
    5,282.28x = 7,928.10 × 2,686.68
  4. Step 4: Simplify right side
    5,282.28x = 21,300,267.71
  5. Step 5: Solve for x
    x = 21,300,267.71/5,282.28
  6. Step 6: Final answer
    x = 4,032.40

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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.