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Finding the Fourth Proportional to 2,130.86, 2,939.98 and 1,234.52

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Solution

The fourth proportional to 2,130.86, 2,939.98 and 1,234.52 is: 1,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.86 : 2,939.98 = 1,234.52 : x
  2. Step 2: Convert to fraction form
    2,130.86/2,939.98 = 1,234.52/x
  3. Step 3: Cross multiply
    2,130.86x = 2,939.98 × 1,234.52
  4. Step 4: Simplify right side
    2,130.86x = 3,629,464.11
  5. Step 5: Solve for x
    x = 3,629,464.11/2,130.86
  6. Step 6: Final answer
    x = 1,703.29

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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.