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Finding the Fourth Proportional to 14,853.64, 20,520.28 and 9,761.28

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Solution

The fourth proportional to 14,853.64, 20,520.28 and 9,761.28 is: 13,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.64 : 20,520.28 = 9,761.28 : x
  2. Step 2: Convert to fraction form
    14,853.64/20,520.28 = 9,761.28/x
  3. Step 3: Cross multiply
    14,853.64x = 20,520.28 × 9,761.28
  4. Step 4: Simplify right side
    14,853.64x = 200,304,198.76
  5. Step 5: Solve for x
    x = 200,304,198.76/14,853.64
  6. Step 6: Final answer
    x = 13,485.19

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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.