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Finding the Fourth Proportional to 7,100.79, 10,652.10 and 3,809.37

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Solution

The fourth proportional to 7,100.79, 10,652.10 and 3,809.37 is: 5,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.79 : 10,652.10 = 3,809.37 : x
  2. Step 2: Convert to fraction form
    7,100.79/10,652.10 = 3,809.37/x
  3. Step 3: Cross multiply
    7,100.79x = 10,652.10 × 3,809.37
  4. Step 4: Simplify right side
    7,100.79x = 40,577,790.18
  5. Step 5: Solve for x
    x = 40,577,790.18/7,100.79
  6. Step 6: Final answer
    x = 5,714.55

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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.