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Finding the Fourth Proportional to 5,178.60, 7,766.80 and 1,479.84

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Solution

The fourth proportional to 5,178.60, 7,766.80 and 1,479.84 is: 2,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.60 : 7,766.80 = 1,479.84 : x
  2. Step 2: Convert to fraction form
    5,178.60/7,766.80 = 1,479.84/x
  3. Step 3: Cross multiply
    5,178.60x = 7,766.80 × 1,479.84
  4. Step 4: Simplify right side
    5,178.60x = 11,493,621.31
  5. Step 5: Solve for x
    x = 11,493,621.31/5,178.60
  6. Step 6: Final answer
    x = 2,219.45

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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.