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Finding the Fourth Proportional to 7,512.32, 10,366.94 and 4,155.32

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Solution

The fourth proportional to 7,512.32, 10,366.94 and 4,155.32 is: 5,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.32 : 10,366.94 = 4,155.32 : x
  2. Step 2: Convert to fraction form
    7,512.32/10,366.94 = 4,155.32/x
  3. Step 3: Cross multiply
    7,512.32x = 10,366.94 × 4,155.32
  4. Step 4: Simplify right side
    7,512.32x = 43,077,953.12
  5. Step 5: Solve for x
    x = 43,077,953.12/7,512.32
  6. Step 6: Final answer
    x = 5,734.31

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