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Finding the Fourth Proportional to 3,070.53, 4,237.05 and 1,811.61

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Solution

The fourth proportional to 3,070.53, 4,237.05 and 1,811.61 is: 2,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.53 : 4,237.05 = 1,811.61 : x
  2. Step 2: Convert to fraction form
    3,070.53/4,237.05 = 1,811.61/x
  3. Step 3: Cross multiply
    3,070.53x = 4,237.05 × 1,811.61
  4. Step 4: Simplify right side
    3,070.53x = 7,675,882.15
  5. Step 5: Solve for x
    x = 7,675,882.15/3,070.53
  6. Step 6: Final answer
    x = 2,499.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.