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Finding the Fourth Proportional to 5,161.86, 7,742.06 and 1,652.28

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Solution

The fourth proportional to 5,161.86, 7,742.06 and 1,652.28 is: 2,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.86 : 7,742.06 = 1,652.28 : x
  2. Step 2: Convert to fraction form
    5,161.86/7,742.06 = 1,652.28/x
  3. Step 3: Cross multiply
    5,161.86x = 7,742.06 × 1,652.28
  4. Step 4: Simplify right side
    5,161.86x = 12,792,050.90
  5. Step 5: Solve for x
    x = 12,792,050.90/5,161.86
  6. Step 6: Final answer
    x = 2,478.19

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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.