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Finding the Fourth Proportional to 5,125.80, 7,725.63 and 5,125.80

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Solution

The fourth proportional to 5,125.80, 7,725.63 and 5,125.80 is: 7,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.80 : 7,725.63 = 5,125.80 : x
  2. Step 2: Convert to fraction form
    5,125.80/7,725.63 = 5,125.80/x
  3. Step 3: Cross multiply
    5,125.80x = 7,725.63 × 5,125.80
  4. Step 4: Simplify right side
    5,125.80x = 39,600,034.25
  5. Step 5: Solve for x
    x = 39,600,034.25/5,125.80
  6. Step 6: Final answer
    x = 7,725.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.