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Finding the Fourth Proportional to 7,052.40, 9,732.24 and 3,865.72

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Solution

The fourth proportional to 7,052.40, 9,732.24 and 3,865.72 is: 5,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.40 : 9,732.24 = 3,865.72 : x
  2. Step 2: Convert to fraction form
    7,052.40/9,732.24 = 3,865.72/x
  3. Step 3: Cross multiply
    7,052.40x = 9,732.24 × 3,865.72
  4. Step 4: Simplify right side
    7,052.40x = 37,622,114.81
  5. Step 5: Solve for x
    x = 37,622,114.81/7,052.40
  6. Step 6: Final answer
    x = 5,334.65

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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.