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Finding the Fourth Proportional to 6,342.86, 9,513.48 and 1,959.98

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Solution

The fourth proportional to 6,342.86, 9,513.48 and 1,959.98 is: 2,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.86 : 9,513.48 = 1,959.98 : x
  2. Step 2: Convert to fraction form
    6,342.86/9,513.48 = 1,959.98/x
  3. Step 3: Cross multiply
    6,342.86x = 9,513.48 × 1,959.98
  4. Step 4: Simplify right side
    6,342.86x = 18,646,230.53
  5. Step 5: Solve for x
    x = 18,646,230.53/6,342.86
  6. Step 6: Final answer
    x = 2,939.72

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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.