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Finding the Fourth Proportional to 5,156.50, 7,116 and 2,798.66

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Solution

The fourth proportional to 5,156.50, 7,116 and 2,798.66 is: 3,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.50 : 7,116 = 2,798.66 : x
  2. Step 2: Convert to fraction form
    5,156.50/7,116 = 2,798.66/x
  3. Step 3: Cross multiply
    5,156.50x = 7,116 × 2,798.66
  4. Step 4: Simplify right side
    5,156.50x = 19,915,264.56
  5. Step 5: Solve for x
    x = 19,915,264.56/5,156.50
  6. Step 6: Final answer
    x = 3,862.17

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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.