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Finding the Fourth Proportional to 14,995.64, 20,694 and 8,281.28

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Solution

The fourth proportional to 14,995.64, 20,694 and 8,281.28 is: 11,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,995.64 : 20,694 = 8,281.28 : x
  2. Step 2: Convert to fraction form
    14,995.64/20,694 = 8,281.28/x
  3. Step 3: Cross multiply
    14,995.64x = 20,694 × 8,281.28
  4. Step 4: Simplify right side
    14,995.64x = 171,372,808.32
  5. Step 5: Solve for x
    x = 171,372,808.32/14,995.64
  6. Step 6: Final answer
    x = 11,428.18

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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.