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Finding the Fourth Proportional to 13,574, 20,352.27 and 5,674.40

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Solution

The fourth proportional to 13,574, 20,352.27 and 5,674.40 is: 8,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 20,352.27 = 5,674.40 : x
  2. Step 2: Convert to fraction form
    13,574/20,352.27 = 5,674.40/x
  3. Step 3: Cross multiply
    13,574x = 20,352.27 × 5,674.40
  4. Step 4: Simplify right side
    13,574x = 115,486,920.89
  5. Step 5: Solve for x
    x = 115,486,920.89/13,574
  6. Step 6: Final answer
    x = 8,507.95

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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.