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Finding the Fourth Proportional to 3,897.62, 5,848.76 and 1,398.60

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Solution

The fourth proportional to 3,897.62, 5,848.76 and 1,398.60 is: 2,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.62 : 5,848.76 = 1,398.60 : x
  2. Step 2: Convert to fraction form
    3,897.62/5,848.76 = 1,398.60/x
  3. Step 3: Cross multiply
    3,897.62x = 5,848.76 × 1,398.60
  4. Step 4: Simplify right side
    3,897.62x = 8,180,075.74
  5. Step 5: Solve for x
    x = 8,180,075.74/3,897.62
  6. Step 6: Final answer
    x = 2,098.74

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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.