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Finding the Fourth Proportional to 7,709.61, 11,555.04 and 3,543.81

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Solution

The fourth proportional to 7,709.61, 11,555.04 and 3,543.81 is: 5,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.61 : 11,555.04 = 3,543.81 : x
  2. Step 2: Convert to fraction form
    7,709.61/11,555.04 = 3,543.81/x
  3. Step 3: Cross multiply
    7,709.61x = 11,555.04 × 3,543.81
  4. Step 4: Simplify right side
    7,709.61x = 40,948,866.30
  5. Step 5: Solve for x
    x = 40,948,866.30/7,709.61
  6. Step 6: Final answer
    x = 5,311.41

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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.