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Finding the Fourth Proportional to 5,156, 7,115.31 and 2,798.16

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Solution

The fourth proportional to 5,156, 7,115.31 and 2,798.16 is: 3,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 7,115.31 = 2,798.16 : x
  2. Step 2: Convert to fraction form
    5,156/7,115.31 = 2,798.16/x
  3. Step 3: Cross multiply
    5,156x = 7,115.31 × 2,798.16
  4. Step 4: Simplify right side
    5,156x = 19,909,775.83
  5. Step 5: Solve for x
    x = 19,909,775.83/5,156
  6. Step 6: Final answer
    x = 3,861.48

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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.