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Finding the Fourth Proportional to 3,104.04, 4,655.92 and 912.84

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Solution

The fourth proportional to 3,104.04, 4,655.92 and 912.84 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.04 : 4,655.92 = 912.84 : x
  2. Step 2: Convert to fraction form
    3,104.04/4,655.92 = 912.84/x
  3. Step 3: Cross multiply
    3,104.04x = 4,655.92 × 912.84
  4. Step 4: Simplify right side
    3,104.04x = 4,250,110.01
  5. Step 5: Solve for x
    x = 4,250,110.01/3,104.04
  6. Step 6: Final answer
    x = 1,369.22

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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.