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Finding the Fourth Proportional to 10,728.50, 14,804.71 and 6,252.98

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Solution

The fourth proportional to 10,728.50, 14,804.71 and 6,252.98 is: 8,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.50 : 14,804.71 = 6,252.98 : x
  2. Step 2: Convert to fraction form
    10,728.50/14,804.71 = 6,252.98/x
  3. Step 3: Cross multiply
    10,728.50x = 14,804.71 × 6,252.98
  4. Step 4: Simplify right side
    10,728.50x = 92,573,465.88
  5. Step 5: Solve for x
    x = 92,573,465.88/10,728.50
  6. Step 6: Final answer
    x = 8,628.75

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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.