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Finding the Fourth Proportional to 7,725.63, 10,655.71 and 5,072.07

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Solution

The fourth proportional to 7,725.63, 10,655.71 and 5,072.07 is: 6,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.63 : 10,655.71 = 5,072.07 : x
  2. Step 2: Convert to fraction form
    7,725.63/10,655.71 = 5,072.07/x
  3. Step 3: Cross multiply
    7,725.63x = 10,655.71 × 5,072.07
  4. Step 4: Simplify right side
    7,725.63x = 54,046,481.66
  5. Step 5: Solve for x
    x = 54,046,481.66/7,725.63
  6. Step 6: Final answer
    x = 6,995.74

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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.