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Finding the Fourth Proportional to 5,256, 7,253.10 and 2,898

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Solution

The fourth proportional to 5,256, 7,253.10 and 2,898 is: 3,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256 : 7,253.10 = 2,898 : x
  2. Step 2: Convert to fraction form
    5,256/7,253.10 = 2,898/x
  3. Step 3: Cross multiply
    5,256x = 7,253.10 × 2,898
  4. Step 4: Simplify right side
    5,256x = 21,019,483.80
  5. Step 5: Solve for x
    x = 21,019,483.80/5,256
  6. Step 6: Final answer
    x = 3,999.14

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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.