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Finding the Fourth Proportional to 4,761, 6,570.12 and 2,772.72

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Solution

The fourth proportional to 4,761, 6,570.12 and 2,772.72 is: 3,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 6,570.12 = 2,772.72 : x
  2. Step 2: Convert to fraction form
    4,761/6,570.12 = 2,772.72/x
  3. Step 3: Cross multiply
    4,761x = 6,570.12 × 2,772.72
  4. Step 4: Simplify right side
    4,761x = 18,217,103.13
  5. Step 5: Solve for x
    x = 18,217,103.13/4,761
  6. Step 6: Final answer
    x = 3,826.32

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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.