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Finding the Fourth Proportional to 13,811.60, 19,059.72 and 8,224.40

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Solution

The fourth proportional to 13,811.60, 19,059.72 and 8,224.40 is: 11,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.60 : 19,059.72 = 8,224.40 : x
  2. Step 2: Convert to fraction form
    13,811.60/19,059.72 = 8,224.40/x
  3. Step 3: Cross multiply
    13,811.60x = 19,059.72 × 8,224.40
  4. Step 4: Simplify right side
    13,811.60x = 156,754,761.17
  5. Step 5: Solve for x
    x = 156,754,761.17/13,811.60
  6. Step 6: Final answer
    x = 11,349.50

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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.