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Finding the Fourth Proportional to 3,897.28, 5,846 and 1,300.24

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Solution

The fourth proportional to 3,897.28, 5,846 and 1,300.24 is: 1,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.28 : 5,846 = 1,300.24 : x
  2. Step 2: Convert to fraction form
    3,897.28/5,846 = 1,300.24/x
  3. Step 3: Cross multiply
    3,897.28x = 5,846 × 1,300.24
  4. Step 4: Simplify right side
    3,897.28x = 7,601,203.04
  5. Step 5: Solve for x
    x = 7,601,203.04/3,897.28
  6. Step 6: Final answer
    x = 1,950.39

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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.