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Finding the Fourth Proportional to 3,104.06, 4,656.12 and 912.83

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Solution

The fourth proportional to 3,104.06, 4,656.12 and 912.83 is: 1,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.06 : 4,656.12 = 912.83 : x
  2. Step 2: Convert to fraction form
    3,104.06/4,656.12 = 912.83/x
  3. Step 3: Cross multiply
    3,104.06x = 4,656.12 × 912.83
  4. Step 4: Simplify right side
    3,104.06x = 4,250,246.02
  5. Step 5: Solve for x
    x = 4,250,246.02/3,104.06
  6. Step 6: Final answer
    x = 1,369.25

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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.