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Finding the Fourth Proportional to 13,023.56, 19,542.36 and 8,643.08

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Solution

The fourth proportional to 13,023.56, 19,542.36 and 8,643.08 is: 12,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.56 : 19,542.36 = 8,643.08 : x
  2. Step 2: Convert to fraction form
    13,023.56/19,542.36 = 8,643.08/x
  3. Step 3: Cross multiply
    13,023.56x = 19,542.36 × 8,643.08
  4. Step 4: Simplify right side
    13,023.56x = 168,906,180.87
  5. Step 5: Solve for x
    x = 168,906,180.87/13,023.56
  6. Step 6: Final answer
    x = 12,969.28

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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.