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Finding the Fourth Proportional to 10,379, 14,338.62 and 6,802.44

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Solution

The fourth proportional to 10,379, 14,338.62 and 6,802.44 is: 9,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379 : 14,338.62 = 6,802.44 : x
  2. Step 2: Convert to fraction form
    10,379/14,338.62 = 6,802.44/x
  3. Step 3: Cross multiply
    10,379x = 14,338.62 × 6,802.44
  4. Step 4: Simplify right side
    10,379x = 97,537,602.23
  5. Step 5: Solve for x
    x = 97,537,602.23/10,379
  6. Step 6: Final answer
    x = 9,397.59

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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.