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Finding the Fourth Proportional to 4,978.79, 7,465.66 and 2,206.32

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Solution

The fourth proportional to 4,978.79, 7,465.66 and 2,206.32 is: 3,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.79 : 7,465.66 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    4,978.79/7,465.66 = 2,206.32/x
  3. Step 3: Cross multiply
    4,978.79x = 7,465.66 × 2,206.32
  4. Step 4: Simplify right side
    4,978.79x = 16,471,634.97
  5. Step 5: Solve for x
    x = 16,471,634.97/4,978.79
  6. Step 6: Final answer
    x = 3,308.36

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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.