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Finding the Fourth Proportional to 4,102.63, 5,661.63 and 2,531.63

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Solution

The fourth proportional to 4,102.63, 5,661.63 and 2,531.63 is: 3,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.63 : 5,661.63 = 2,531.63 : x
  2. Step 2: Convert to fraction form
    4,102.63/5,661.63 = 2,531.63/x
  3. Step 3: Cross multiply
    4,102.63x = 5,661.63 × 2,531.63
  4. Step 4: Simplify right side
    4,102.63x = 14,333,139.70
  5. Step 5: Solve for x
    x = 14,333,139.70/4,102.63
  6. Step 6: Final answer
    x = 3,493.65

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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.