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Finding the Fourth Proportional to 4,119, 5,684.34 and 2,256.12

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Solution

The fourth proportional to 4,119, 5,684.34 and 2,256.12 is: 3,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119 : 5,684.34 = 2,256.12 : x
  2. Step 2: Convert to fraction form
    4,119/5,684.34 = 2,256.12/x
  3. Step 3: Cross multiply
    4,119x = 5,684.34 × 2,256.12
  4. Step 4: Simplify right side
    4,119x = 12,824,553.16
  5. Step 5: Solve for x
    x = 12,824,553.16/4,119
  6. Step 6: Final answer
    x = 3,113.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.