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Finding the Fourth Proportional to 10,136.66, 13,987.82 and 6,359.63

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Solution

The fourth proportional to 10,136.66, 13,987.82 and 6,359.63 is: 8,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.66 : 13,987.82 = 6,359.63 : x
  2. Step 2: Convert to fraction form
    10,136.66/13,987.82 = 6,359.63/x
  3. Step 3: Cross multiply
    10,136.66x = 13,987.82 × 6,359.63
  4. Step 4: Simplify right side
    10,136.66x = 88,957,305.67
  5. Step 5: Solve for x
    x = 88,957,305.67/10,136.66
  6. Step 6: Final answer
    x = 8,775.80

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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.