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Finding the Fourth Proportional to 3,897.86, 5,847.08 and 1,300.79

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Solution

The fourth proportional to 3,897.86, 5,847.08 and 1,300.79 is: 1,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.86 : 5,847.08 = 1,300.79 : x
  2. Step 2: Convert to fraction form
    3,897.86/5,847.08 = 1,300.79/x
  3. Step 3: Cross multiply
    3,897.86x = 5,847.08 × 1,300.79
  4. Step 4: Simplify right side
    3,897.86x = 7,605,787.45
  5. Step 5: Solve for x
    x = 7,605,787.45/3,897.86
  6. Step 6: Final answer
    x = 1,951.28

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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.