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Finding the Fourth Proportional to 4,153, 5,731.20 and 2,290

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Solution

The fourth proportional to 4,153, 5,731.20 and 2,290 is: 3,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153 : 5,731.20 = 2,290 : x
  2. Step 2: Convert to fraction form
    4,153/5,731.20 = 2,290/x
  3. Step 3: Cross multiply
    4,153x = 5,731.20 × 2,290
  4. Step 4: Simplify right side
    4,153x = 13,124,448
  5. Step 5: Solve for x
    x = 13,124,448/4,153
  6. Step 6: Final answer
    x = 3,160.23

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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.