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Finding the Fourth Proportional to 10,662.52, 14,706.36 and 7,829

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Solution

The fourth proportional to 10,662.52, 14,706.36 and 7,829 is: 10,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.52 : 14,706.36 = 7,829 : x
  2. Step 2: Convert to fraction form
    10,662.52/14,706.36 = 7,829/x
  3. Step 3: Cross multiply
    10,662.52x = 14,706.36 × 7,829
  4. Step 4: Simplify right side
    10,662.52x = 115,136,092.44
  5. Step 5: Solve for x
    x = 115,136,092.44/10,662.52
  6. Step 6: Final answer
    x = 10,798.21

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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.