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Finding the Fourth Proportional to 14,538.15, 20,061 and 8,163.45

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Solution

The fourth proportional to 14,538.15, 20,061 and 8,163.45 is: 11,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.15 : 20,061 = 8,163.45 : x
  2. Step 2: Convert to fraction form
    14,538.15/20,061 = 8,163.45/x
  3. Step 3: Cross multiply
    14,538.15x = 20,061 × 8,163.45
  4. Step 4: Simplify right side
    14,538.15x = 163,766,970.45
  5. Step 5: Solve for x
    x = 163,766,970.45/14,538.15
  6. Step 6: Final answer
    x = 11,264.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.