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Finding the Fourth Proportional to 7,108.60, 10,666.10 and 3,409.40

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Solution

The fourth proportional to 7,108.60, 10,666.10 and 3,409.40 is: 5,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.60 : 10,666.10 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    7,108.60/10,666.10 = 3,409.40/x
  3. Step 3: Cross multiply
    7,108.60x = 10,666.10 × 3,409.40
  4. Step 4: Simplify right side
    7,108.60x = 36,365,001.34
  5. Step 5: Solve for x
    x = 36,365,001.34/7,108.60
  6. Step 6: Final answer
    x = 5,115.63

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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.