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Finding the Fourth Proportional to 7,263, 10,899.36 and 5,328.72

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Solution

The fourth proportional to 7,263, 10,899.36 and 5,328.72 is: 7,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263 : 10,899.36 = 5,328.72 : x
  2. Step 2: Convert to fraction form
    7,263/10,899.36 = 5,328.72/x
  3. Step 3: Cross multiply
    7,263x = 10,899.36 × 5,328.72
  4. Step 4: Simplify right side
    7,263x = 58,079,637.62
  5. Step 5: Solve for x
    x = 58,079,637.62/7,263
  6. Step 6: Final answer
    x = 7,996.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.