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Finding the Fourth Proportional to 3,841.76, 5,302.32 and 3,012.32

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Solution

The fourth proportional to 3,841.76, 5,302.32 and 3,012.32 is: 4,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.76 : 5,302.32 = 3,012.32 : x
  2. Step 2: Convert to fraction form
    3,841.76/5,302.32 = 3,012.32/x
  3. Step 3: Cross multiply
    3,841.76x = 5,302.32 × 3,012.32
  4. Step 4: Simplify right side
    3,841.76x = 15,972,284.58
  5. Step 5: Solve for x
    x = 15,972,284.58/3,841.76
  6. Step 6: Final answer
    x = 4,157.54

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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.