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Finding the Fourth Proportional to 3,056.13, 4,584.06 and 864.81

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Solution

The fourth proportional to 3,056.13, 4,584.06 and 864.81 is: 1,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.13 : 4,584.06 = 864.81 : x
  2. Step 2: Convert to fraction form
    3,056.13/4,584.06 = 864.81/x
  3. Step 3: Cross multiply
    3,056.13x = 4,584.06 × 864.81
  4. Step 4: Simplify right side
    3,056.13x = 3,964,340.93
  5. Step 5: Solve for x
    x = 3,964,340.93/3,056.13
  6. Step 6: Final answer
    x = 1,297.18

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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.