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Finding the Fourth Proportional to 4,153.68, 5,731.68 and 2,290.56

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Solution

The fourth proportional to 4,153.68, 5,731.68 and 2,290.56 is: 3,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.68 : 5,731.68 = 2,290.56 : x
  2. Step 2: Convert to fraction form
    4,153.68/5,731.68 = 2,290.56/x
  3. Step 3: Cross multiply
    4,153.68x = 5,731.68 × 2,290.56
  4. Step 4: Simplify right side
    4,153.68x = 13,128,756.94
  5. Step 5: Solve for x
    x = 13,128,756.94/4,153.68
  6. Step 6: Final answer
    x = 3,160.75

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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.