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Finding the Fourth Proportional to 10,857.56, 14,970.30 and 9,176

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Solution

The fourth proportional to 10,857.56, 14,970.30 and 9,176 is: 12,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.56 : 14,970.30 = 9,176 : x
  2. Step 2: Convert to fraction form
    10,857.56/14,970.30 = 9,176/x
  3. Step 3: Cross multiply
    10,857.56x = 14,970.30 × 9,176
  4. Step 4: Simplify right side
    10,857.56x = 137,367,472.80
  5. Step 5: Solve for x
    x = 137,367,472.80/10,857.56
  6. Step 6: Final answer
    x = 12,651.78

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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.