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Finding the Fourth Proportional to 3,109.02, 4,663.22 and 917.76

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Solution

The fourth proportional to 3,109.02, 4,663.22 and 917.76 is: 1,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.02 : 4,663.22 = 917.76 : x
  2. Step 2: Convert to fraction form
    3,109.02/4,663.22 = 917.76/x
  3. Step 3: Cross multiply
    3,109.02x = 4,663.22 × 917.76
  4. Step 4: Simplify right side
    3,109.02x = 4,279,712.20
  5. Step 5: Solve for x
    x = 4,279,712.20/3,109.02
  6. Step 6: Final answer
    x = 1,376.55

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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.