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Finding the Fourth Proportional to 3,846.60, 5,760.79 and 2,607.30

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Solution

The fourth proportional to 3,846.60, 5,760.79 and 2,607.30 is: 3,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.60 : 5,760.79 = 2,607.30 : x
  2. Step 2: Convert to fraction form
    3,846.60/5,760.79 = 2,607.30/x
  3. Step 3: Cross multiply
    3,846.60x = 5,760.79 × 2,607.30
  4. Step 4: Simplify right side
    3,846.60x = 15,020,101.25
  5. Step 5: Solve for x
    x = 15,020,101.25/3,846.60
  6. Step 6: Final answer
    x = 3,904.77

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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.