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Finding the Fourth Proportional to 5,210.72, 7,815.77 and 1,512.87

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Solution

The fourth proportional to 5,210.72, 7,815.77 and 1,512.87 is: 2,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.72 : 7,815.77 = 1,512.87 : x
  2. Step 2: Convert to fraction form
    5,210.72/7,815.77 = 1,512.87/x
  3. Step 3: Cross multiply
    5,210.72x = 7,815.77 × 1,512.87
  4. Step 4: Simplify right side
    5,210.72x = 11,824,243.96
  5. Step 5: Solve for x
    x = 11,824,243.96/5,210.72
  6. Step 6: Final answer
    x = 2,269.21

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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.