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Finding the Fourth Proportional to 3,104.02, 4,655.94 and 912.79

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Solution

The fourth proportional to 3,104.02, 4,655.94 and 912.79 is: 1,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.02 : 4,655.94 = 912.79 : x
  2. Step 2: Convert to fraction form
    3,104.02/4,655.94 = 912.79/x
  3. Step 3: Cross multiply
    3,104.02x = 4,655.94 × 912.79
  4. Step 4: Simplify right side
    3,104.02x = 4,249,890.91
  5. Step 5: Solve for x
    x = 4,249,890.91/3,104.02
  6. Step 6: Final answer
    x = 1,369.16

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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.