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Finding the Fourth Proportional to 3,130.92, 4,693.86 and 1,811.52

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Solution

The fourth proportional to 3,130.92, 4,693.86 and 1,811.52 is: 2,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.92 : 4,693.86 = 1,811.52 : x
  2. Step 2: Convert to fraction form
    3,130.92/4,693.86 = 1,811.52/x
  3. Step 3: Cross multiply
    3,130.92x = 4,693.86 × 1,811.52
  4. Step 4: Simplify right side
    3,130.92x = 8,503,021.27
  5. Step 5: Solve for x
    x = 8,503,021.27/3,130.92
  6. Step 6: Final answer
    x = 2,715.82

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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.