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Finding the Fourth Proportional to 5,365.71, 8,047.70 and 1,469.20

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Solution

The fourth proportional to 5,365.71, 8,047.70 and 1,469.20 is: 2,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.71 : 8,047.70 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    5,365.71/8,047.70 = 1,469.20/x
  3. Step 3: Cross multiply
    5,365.71x = 8,047.70 × 1,469.20
  4. Step 4: Simplify right side
    5,365.71x = 11,823,689.06
  5. Step 5: Solve for x
    x = 11,823,689.06/5,365.71
  6. Step 6: Final answer
    x = 2,203.57

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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.