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Finding the Fourth Proportional to 7,106.59, 10,655.11 and 3,406.79

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Solution

The fourth proportional to 7,106.59, 10,655.11 and 3,406.79 is: 5,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.59 : 10,655.11 = 3,406.79 : x
  2. Step 2: Convert to fraction form
    7,106.59/10,655.11 = 3,406.79/x
  3. Step 3: Cross multiply
    7,106.59x = 10,655.11 × 3,406.79
  4. Step 4: Simplify right side
    7,106.59x = 36,299,705.16
  5. Step 5: Solve for x
    x = 36,299,705.16/7,106.59
  6. Step 6: Final answer
    x = 5,107.90

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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.