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Finding the Fourth Proportional to 13,422.52, 20,130.78 and 8,485.48

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Solution

The fourth proportional to 13,422.52, 20,130.78 and 8,485.48 is: 12,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.52 : 20,130.78 = 8,485.48 : x
  2. Step 2: Convert to fraction form
    13,422.52/20,130.78 = 8,485.48/x
  3. Step 3: Cross multiply
    13,422.52x = 20,130.78 × 8,485.48
  4. Step 4: Simplify right side
    13,422.52x = 170,819,331.07
  5. Step 5: Solve for x
    x = 170,819,331.07/13,422.52
  6. Step 6: Final answer
    x = 12,726.32

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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.