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Finding the Fourth Proportional to 13,574.59, 20,366.94 and 5,678.00

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Solution

The fourth proportional to 13,574.59, 20,366.94 and 5,678.00 is: 8,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.59 : 20,366.94 = 5,678.00 : x
  2. Step 2: Convert to fraction form
    13,574.59/20,366.94 = 5,678.00/x
  3. Step 3: Cross multiply
    13,574.59x = 20,366.94 × 5,678.00
  4. Step 4: Simplify right side
    13,574.59x = 115,643,481.15
  5. Step 5: Solve for x
    x = 115,643,481.15/13,574.59
  6. Step 6: Final answer
    x = 8,519.12

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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.