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Finding the Fourth Proportional to 2,992.68, 4,129.65 and 1,813.86

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Solution

The fourth proportional to 2,992.68, 4,129.65 and 1,813.86 is: 2,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.68 : 4,129.65 = 1,813.86 : x
  2. Step 2: Convert to fraction form
    2,992.68/4,129.65 = 1,813.86/x
  3. Step 3: Cross multiply
    2,992.68x = 4,129.65 × 1,813.86
  4. Step 4: Simplify right side
    2,992.68x = 7,490,606.95
  5. Step 5: Solve for x
    x = 7,490,606.95/2,992.68
  6. Step 6: Final answer
    x = 2,502.98

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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.