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Finding the Fourth Proportional to 7,225.14, 9,965.22 and 4,990.74

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Solution

The fourth proportional to 7,225.14, 9,965.22 and 4,990.74 is: 6,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.14 : 9,965.22 = 4,990.74 : x
  2. Step 2: Convert to fraction form
    7,225.14/9,965.22 = 4,990.74/x
  3. Step 3: Cross multiply
    7,225.14x = 9,965.22 × 4,990.74
  4. Step 4: Simplify right side
    7,225.14x = 49,733,822.06
  5. Step 5: Solve for x
    x = 49,733,822.06/7,225.14
  6. Step 6: Final answer
    x = 6,883.44

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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.