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Finding the Fourth Proportional to 7,812.96, 11,719.43 and 3,916.45

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Solution

The fourth proportional to 7,812.96, 11,719.43 and 3,916.45 is: 5,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.96 : 11,719.43 = 3,916.45 : x
  2. Step 2: Convert to fraction form
    7,812.96/11,719.43 = 3,916.45/x
  3. Step 3: Cross multiply
    7,812.96x = 11,719.43 × 3,916.45
  4. Step 4: Simplify right side
    7,812.96x = 45,898,593.41
  5. Step 5: Solve for x
    x = 45,898,593.41/7,812.96
  6. Step 6: Final answer
    x = 5,874.68

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Similar ratio
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1.5x scale

Why These Related Problems?

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