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Finding the Fourth Proportional to 7,110.54, 10,666.08 and 1,916.46

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Solution

The fourth proportional to 7,110.54, 10,666.08 and 1,916.46 is: 2,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.54 : 10,666.08 = 1,916.46 : x
  2. Step 2: Convert to fraction form
    7,110.54/10,666.08 = 1,916.46/x
  3. Step 3: Cross multiply
    7,110.54x = 10,666.08 × 1,916.46
  4. Step 4: Simplify right side
    7,110.54x = 20,441,115.68
  5. Step 5: Solve for x
    x = 20,441,115.68/7,110.54
  6. Step 6: Final answer
    x = 2,874.76

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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.