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Finding the Fourth Proportional to 3,897.61, 5,845.79 and 1,264.77

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Solution

The fourth proportional to 3,897.61, 5,845.79 and 1,264.77 is: 1,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.61 : 5,845.79 = 1,264.77 : x
  2. Step 2: Convert to fraction form
    3,897.61/5,845.79 = 1,264.77/x
  3. Step 3: Cross multiply
    3,897.61x = 5,845.79 × 1,264.77
  4. Step 4: Simplify right side
    3,897.61x = 7,393,582.98
  5. Step 5: Solve for x
    x = 7,393,582.98/3,897.61
  6. Step 6: Final answer
    x = 1,896.95

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1.5x scale

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.