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Finding the Fourth Proportional to 10,071.74, 15,102.42 and 4,520.33

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Solution

The fourth proportional to 10,071.74, 15,102.42 and 4,520.33 is: 6,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.74 : 15,102.42 = 4,520.33 : x
  2. Step 2: Convert to fraction form
    10,071.74/15,102.42 = 4,520.33/x
  3. Step 3: Cross multiply
    10,071.74x = 15,102.42 × 4,520.33
  4. Step 4: Simplify right side
    10,071.74x = 68,267,835.39
  5. Step 5: Solve for x
    x = 68,267,835.39/10,071.74
  6. Step 6: Final answer
    x = 6,778.16

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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.