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Finding the Fourth Proportional to 7,187.97, 10,782.48 and 2,257.55

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Solution

The fourth proportional to 7,187.97, 10,782.48 and 2,257.55 is: 3,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.97 : 10,782.48 = 2,257.55 : x
  2. Step 2: Convert to fraction form
    7,187.97/10,782.48 = 2,257.55/x
  3. Step 3: Cross multiply
    7,187.97x = 10,782.48 × 2,257.55
  4. Step 4: Simplify right side
    7,187.97x = 24,341,933.81
  5. Step 5: Solve for x
    x = 24,341,933.81/7,187.97
  6. Step 6: Final answer
    x = 3,386.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.