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Finding the Fourth Proportional to 7,606, 11,410.94 and 5,389.21

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Solution

The fourth proportional to 7,606, 11,410.94 and 5,389.21 is: 8,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606 : 11,410.94 = 5,389.21 : x
  2. Step 2: Convert to fraction form
    7,606/11,410.94 = 5,389.21/x
  3. Step 3: Cross multiply
    7,606x = 11,410.94 × 5,389.21
  4. Step 4: Simplify right side
    7,606x = 61,495,951.96
  5. Step 5: Solve for x
    x = 61,495,951.96/7,606
  6. Step 6: Final answer
    x = 8,085.19

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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.