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Finding the Fourth Proportional to 5,223.74, 7,208.86 and 2,866

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Solution

The fourth proportional to 5,223.74, 7,208.86 and 2,866 is: 3,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.74 : 7,208.86 = 2,866 : x
  2. Step 2: Convert to fraction form
    5,223.74/7,208.86 = 2,866/x
  3. Step 3: Cross multiply
    5,223.74x = 7,208.86 × 2,866
  4. Step 4: Simplify right side
    5,223.74x = 20,660,592.76
  5. Step 5: Solve for x
    x = 20,660,592.76/5,223.74
  6. Step 6: Final answer
    x = 3,955.13

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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.