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Finding the Fourth Proportional to 10,625.90, 14,663.82 and 6,649.28

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Solution

The fourth proportional to 10,625.90, 14,663.82 and 6,649.28 is: 9,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.90 : 14,663.82 = 6,649.28 : x
  2. Step 2: Convert to fraction form
    10,625.90/14,663.82 = 6,649.28/x
  3. Step 3: Cross multiply
    10,625.90x = 14,663.82 × 6,649.28
  4. Step 4: Simplify right side
    10,625.90x = 97,503,796.67
  5. Step 5: Solve for x
    x = 97,503,796.67/10,625.90
  6. Step 6: Final answer
    x = 9,176.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.