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Finding the Fourth Proportional to 4,978.40, 7,471.04 and 2,056.73

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Solution

The fourth proportional to 4,978.40, 7,471.04 and 2,056.73 is: 3,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.40 : 7,471.04 = 2,056.73 : x
  2. Step 2: Convert to fraction form
    4,978.40/7,471.04 = 2,056.73/x
  3. Step 3: Cross multiply
    4,978.40x = 7,471.04 × 2,056.73
  4. Step 4: Simplify right side
    4,978.40x = 15,365,864.46
  5. Step 5: Solve for x
    x = 15,365,864.46/4,978.40
  6. Step 6: Final answer
    x = 3,086.51

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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.