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Finding the Fourth Proportional to 7,224, 9,969.36 and 4,428.96

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Solution

The fourth proportional to 7,224, 9,969.36 and 4,428.96 is: 6,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224 : 9,969.36 = 4,428.96 : x
  2. Step 2: Convert to fraction form
    7,224/9,969.36 = 4,428.96/x
  3. Step 3: Cross multiply
    7,224x = 9,969.36 × 4,428.96
  4. Step 4: Simplify right side
    7,224x = 44,153,896.67
  5. Step 5: Solve for x
    x = 44,153,896.67/7,224
  6. Step 6: Final answer
    x = 6,112.11

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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.