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Finding the Fourth Proportional to 3,145.86, 4,718.52 and 1,295.82

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Solution

The fourth proportional to 3,145.86, 4,718.52 and 1,295.82 is: 1,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.86 : 4,718.52 = 1,295.82 : x
  2. Step 2: Convert to fraction form
    3,145.86/4,718.52 = 1,295.82/x
  3. Step 3: Cross multiply
    3,145.86x = 4,718.52 × 1,295.82
  4. Step 4: Simplify right side
    3,145.86x = 6,114,352.59
  5. Step 5: Solve for x
    x = 6,114,352.59/3,145.86
  6. Step 6: Final answer
    x = 1,943.62

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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.