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Finding the Fourth Proportional to 11,693.70, 16,137.54 and 6,388.74

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Solution

The fourth proportional to 11,693.70, 16,137.54 and 6,388.74 is: 8,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.70 : 16,137.54 = 6,388.74 : x
  2. Step 2: Convert to fraction form
    11,693.70/16,137.54 = 6,388.74/x
  3. Step 3: Cross multiply
    11,693.70x = 16,137.54 × 6,388.74
  4. Step 4: Simplify right side
    11,693.70x = 103,098,547.30
  5. Step 5: Solve for x
    x = 103,098,547.30/11,693.70
  6. Step 6: Final answer
    x = 8,816.59

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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.