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Finding the Fourth Proportional to 8,285.58, 12,417.84 and 3,897

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Solution

The fourth proportional to 8,285.58, 12,417.84 and 3,897 is: 5,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.58 : 12,417.84 = 3,897 : x
  2. Step 2: Convert to fraction form
    8,285.58/12,417.84 = 3,897/x
  3. Step 3: Cross multiply
    8,285.58x = 12,417.84 × 3,897
  4. Step 4: Simplify right side
    8,285.58x = 48,392,322.48
  5. Step 5: Solve for x
    x = 48,392,322.48/8,285.58
  6. Step 6: Final answer
    x = 5,840.55

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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.