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Finding the Fourth Proportional to 7,772.59, 10,725.86 and 4,235.72

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Solution

The fourth proportional to 7,772.59, 10,725.86 and 4,235.72 is: 5,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.59 : 10,725.86 = 4,235.72 : x
  2. Step 2: Convert to fraction form
    7,772.59/10,725.86 = 4,235.72/x
  3. Step 3: Cross multiply
    7,772.59x = 10,725.86 × 4,235.72
  4. Step 4: Simplify right side
    7,772.59x = 45,431,718.54
  5. Step 5: Solve for x
    x = 45,431,718.54/7,772.59
  6. Step 6: Final answer
    x = 5,845.12

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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.