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Finding the Fourth Proportional to 3,271.86, 4,513.86 and 1,945.08

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Solution

The fourth proportional to 3,271.86, 4,513.86 and 1,945.08 is: 2,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.86 : 4,513.86 = 1,945.08 : x
  2. Step 2: Convert to fraction form
    3,271.86/4,513.86 = 1,945.08/x
  3. Step 3: Cross multiply
    3,271.86x = 4,513.86 × 1,945.08
  4. Step 4: Simplify right side
    3,271.86x = 8,779,818.81
  5. Step 5: Solve for x
    x = 8,779,818.81/3,271.86
  6. Step 6: Final answer
    x = 2,683.43

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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.