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Finding the Fourth Proportional to 13,952.16, 20,928.16 and 8,761.68

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Solution

The fourth proportional to 13,952.16, 20,928.16 and 8,761.68 is: 13,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.16 : 20,928.16 = 8,761.68 : x
  2. Step 2: Convert to fraction form
    13,952.16/20,928.16 = 8,761.68/x
  3. Step 3: Cross multiply
    13,952.16x = 20,928.16 × 8,761.68
  4. Step 4: Simplify right side
    13,952.16x = 183,365,840.91
  5. Step 5: Solve for x
    x = 183,365,840.91/13,952.16
  6. Step 6: Final answer
    x = 13,142.47

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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.