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Finding the Fourth Proportional to 7,174.77, 10,742.10 and 3,876.05

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Solution

The fourth proportional to 7,174.77, 10,742.10 and 3,876.05 is: 5,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.77 : 10,742.10 = 3,876.05 : x
  2. Step 2: Convert to fraction form
    7,174.77/10,742.10 = 3,876.05/x
  3. Step 3: Cross multiply
    7,174.77x = 10,742.10 × 3,876.05
  4. Step 4: Simplify right side
    7,174.77x = 41,636,916.71
  5. Step 5: Solve for x
    x = 41,636,916.71/7,174.77
  6. Step 6: Final answer
    x = 5,803.24

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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.