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Finding the Fourth Proportional to 11,428.56, 15,773.94 and 7,236

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Solution

The fourth proportional to 11,428.56, 15,773.94 and 7,236 is: 9,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.56 : 15,773.94 = 7,236 : x
  2. Step 2: Convert to fraction form
    11,428.56/15,773.94 = 7,236/x
  3. Step 3: Cross multiply
    11,428.56x = 15,773.94 × 7,236
  4. Step 4: Simplify right side
    11,428.56x = 114,140,229.84
  5. Step 5: Solve for x
    x = 114,140,229.84/11,428.56
  6. Step 6: Final answer
    x = 9,987.28

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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.