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Finding the Fourth Proportional to 10,166.44, 15,220.90 and 6,459.48

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Solution

The fourth proportional to 10,166.44, 15,220.90 and 6,459.48 is: 9,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.44 : 15,220.90 = 6,459.48 : x
  2. Step 2: Convert to fraction form
    10,166.44/15,220.90 = 6,459.48/x
  3. Step 3: Cross multiply
    10,166.44x = 15,220.90 × 6,459.48
  4. Step 4: Simplify right side
    10,166.44x = 98,319,099.13
  5. Step 5: Solve for x
    x = 98,319,099.13/10,166.44
  6. Step 6: Final answer
    x = 9,670.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.