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Finding the Fourth Proportional to 10,728.90, 14,806.89 and 6,252.30

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Solution

The fourth proportional to 10,728.90, 14,806.89 and 6,252.30 is: 8,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.90 : 14,806.89 = 6,252.30 : x
  2. Step 2: Convert to fraction form
    10,728.90/14,806.89 = 6,252.30/x
  3. Step 3: Cross multiply
    10,728.90x = 14,806.89 × 6,252.30
  4. Step 4: Simplify right side
    10,728.90x = 92,577,118.35
  5. Step 5: Solve for x
    x = 92,577,118.35/10,728.90
  6. Step 6: Final answer
    x = 8,628.76

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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.