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Finding the Fourth Proportional to 5,478.80, 8,219.40 and 1,780.40

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Solution

The fourth proportional to 5,478.80, 8,219.40 and 1,780.40 is: 2,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.80 : 8,219.40 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    5,478.80/8,219.40 = 1,780.40/x
  3. Step 3: Cross multiply
    5,478.80x = 8,219.40 × 1,780.40
  4. Step 4: Simplify right side
    5,478.80x = 14,633,819.76
  5. Step 5: Solve for x
    x = 14,633,819.76/5,478.80
  6. Step 6: Final answer
    x = 2,670.99

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1.5x scale

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.