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Finding the Fourth Proportional to 4,978.27, 7,470.85 and 2,056.60

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Solution

The fourth proportional to 4,978.27, 7,470.85 and 2,056.60 is: 3,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.27 : 7,470.85 = 2,056.60 : x
  2. Step 2: Convert to fraction form
    4,978.27/7,470.85 = 2,056.60/x
  3. Step 3: Cross multiply
    4,978.27x = 7,470.85 × 2,056.60
  4. Step 4: Simplify right side
    4,978.27x = 15,364,550.11
  5. Step 5: Solve for x
    x = 15,364,550.11/4,978.27
  6. Step 6: Final answer
    x = 3,086.32

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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.