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Finding the Fourth Proportional to 10,631, 14,672.64 and 8,109.20

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Solution

The fourth proportional to 10,631, 14,672.64 and 8,109.20 is: 11,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631 : 14,672.64 = 8,109.20 : x
  2. Step 2: Convert to fraction form
    10,631/14,672.64 = 8,109.20/x
  3. Step 3: Cross multiply
    10,631x = 14,672.64 × 8,109.20
  4. Step 4: Simplify right side
    10,631x = 118,983,372.29
  5. Step 5: Solve for x
    x = 118,983,372.29/10,631
  6. Step 6: Final answer
    x = 11,192.11

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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.