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Finding the Fourth Proportional to 5,143.88, 7,098.53 and 2,786.00

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Solution

The fourth proportional to 5,143.88, 7,098.53 and 2,786.00 is: 3,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.88 : 7,098.53 = 2,786.00 : x
  2. Step 2: Convert to fraction form
    5,143.88/7,098.53 = 2,786.00/x
  3. Step 3: Cross multiply
    5,143.88x = 7,098.53 × 2,786.00
  4. Step 4: Simplify right side
    5,143.88x = 19,776,455.16
  5. Step 5: Solve for x
    x = 19,776,455.16/5,143.88
  6. Step 6: Final answer
    x = 3,844.66

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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.