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Finding the Fourth Proportional to 5,897.50, 8,140.38 and 3,801.63

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Solution

The fourth proportional to 5,897.50, 8,140.38 and 3,801.63 is: 5,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.50 : 8,140.38 = 3,801.63 : x
  2. Step 2: Convert to fraction form
    5,897.50/8,140.38 = 3,801.63/x
  3. Step 3: Cross multiply
    5,897.50x = 8,140.38 × 3,801.63
  4. Step 4: Simplify right side
    5,897.50x = 30,946,712.82
  5. Step 5: Solve for x
    x = 30,946,712.82/5,897.50
  6. Step 6: Final answer
    x = 5,247.43

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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.