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Finding the Fourth Proportional to 7,225.44, 9,970.56 and 4,081.92

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Solution

The fourth proportional to 7,225.44, 9,970.56 and 4,081.92 is: 5,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.44 : 9,970.56 = 4,081.92 : x
  2. Step 2: Convert to fraction form
    7,225.44/9,970.56 = 4,081.92/x
  3. Step 3: Cross multiply
    7,225.44x = 9,970.56 × 4,081.92
  4. Step 4: Simplify right side
    7,225.44x = 40,699,028.28
  5. Step 5: Solve for x
    x = 40,699,028.28/7,225.44
  6. Step 6: Final answer
    x = 5,632.74

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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.