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Finding the Fourth Proportional to 7,225.44, 9,969.84 and 4,431.84

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Solution

The fourth proportional to 7,225.44, 9,969.84 and 4,431.84 is: 6,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.44 : 9,969.84 = 4,431.84 : x
  2. Step 2: Convert to fraction form
    7,225.44/9,969.84 = 4,431.84/x
  3. Step 3: Cross multiply
    7,225.44x = 9,969.84 × 4,431.84
  4. Step 4: Simplify right side
    7,225.44x = 44,184,735.71
  5. Step 5: Solve for x
    x = 44,184,735.71/7,225.44
  6. Step 6: Final answer
    x = 6,115.16

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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.