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Finding the Fourth Proportional to 10,684, 14,731.28 and 7,328.48

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Solution

The fourth proportional to 10,684, 14,731.28 and 7,328.48 is: 10,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 14,731.28 = 7,328.48 : x
  2. Step 2: Convert to fraction form
    10,684/14,731.28 = 7,328.48/x
  3. Step 3: Cross multiply
    10,684x = 14,731.28 × 7,328.48
  4. Step 4: Simplify right side
    10,684x = 107,957,890.85
  5. Step 5: Solve for x
    x = 107,957,890.85/10,684
  6. Step 6: Final answer
    x = 10,104.63

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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.