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Finding the Fourth Proportional to 5,100.16, 7,650.16 and 2,790.40

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Solution

The fourth proportional to 5,100.16, 7,650.16 and 2,790.40 is: 4,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.16 : 7,650.16 = 2,790.40 : x
  2. Step 2: Convert to fraction form
    5,100.16/7,650.16 = 2,790.40/x
  3. Step 3: Cross multiply
    5,100.16x = 7,650.16 × 2,790.40
  4. Step 4: Simplify right side
    5,100.16x = 21,347,006.46
  5. Step 5: Solve for x
    x = 21,347,006.46/5,100.16
  6. Step 6: Final answer
    x = 4,185.56

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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.