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Finding the Fourth Proportional to 13,811.20, 19,053.44 and 8,219.04

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Solution

The fourth proportional to 13,811.20, 19,053.44 and 8,219.04 is: 11,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.20 : 19,053.44 = 8,219.04 : x
  2. Step 2: Convert to fraction form
    13,811.20/19,053.44 = 8,219.04/x
  3. Step 3: Cross multiply
    13,811.20x = 19,053.44 × 8,219.04
  4. Step 4: Simplify right side
    13,811.20x = 156,600,985.50
  5. Step 5: Solve for x
    x = 156,600,985.50/13,811.20
  6. Step 6: Final answer
    x = 11,338.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.