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Finding the Fourth Proportional to 3,840.07, 5,760.21 and 1,066.75

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Solution

The fourth proportional to 3,840.07, 5,760.21 and 1,066.75 is: 1,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.07 : 5,760.21 = 1,066.75 : x
  2. Step 2: Convert to fraction form
    3,840.07/5,760.21 = 1,066.75/x
  3. Step 3: Cross multiply
    3,840.07x = 5,760.21 × 1,066.75
  4. Step 4: Simplify right side
    3,840.07x = 6,144,704.02
  5. Step 5: Solve for x
    x = 6,144,704.02/3,840.07
  6. Step 6: Final answer
    x = 1,600.15

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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.