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Finding the Fourth Proportional to 2,762.50, 3,809.01 and 1,975.22

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Solution

The fourth proportional to 2,762.50, 3,809.01 and 1,975.22 is: 2,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.50 : 3,809.01 = 1,975.22 : x
  2. Step 2: Convert to fraction form
    2,762.50/3,809.01 = 1,975.22/x
  3. Step 3: Cross multiply
    2,762.50x = 3,809.01 × 1,975.22
  4. Step 4: Simplify right side
    2,762.50x = 7,523,632.73
  5. Step 5: Solve for x
    x = 7,523,632.73/2,762.50
  6. Step 6: Final answer
    x = 2,723.49

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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.