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Finding the Fourth Proportional to 4,072.20, 5,688.75 and 4,072.20

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Solution

The fourth proportional to 4,072.20, 5,688.75 and 4,072.20 is: 5,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.20 : 5,688.75 = 4,072.20 : x
  2. Step 2: Convert to fraction form
    4,072.20/5,688.75 = 4,072.20/x
  3. Step 3: Cross multiply
    4,072.20x = 5,688.75 × 4,072.20
  4. Step 4: Simplify right side
    4,072.20x = 23,165,727.75
  5. Step 5: Solve for x
    x = 23,165,727.75/4,072.20
  6. Step 6: Final answer
    x = 5,688.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.