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Finding the Fourth Proportional to 11,339, 17,005.76 and 4,765.28

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Solution

The fourth proportional to 11,339, 17,005.76 and 4,765.28 is: 7,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339 : 17,005.76 = 4,765.28 : x
  2. Step 2: Convert to fraction form
    11,339/17,005.76 = 4,765.28/x
  3. Step 3: Cross multiply
    11,339x = 17,005.76 × 4,765.28
  4. Step 4: Simplify right side
    11,339x = 81,037,208.01
  5. Step 5: Solve for x
    x = 81,037,208.01/11,339
  6. Step 6: Final answer
    x = 7,146.77

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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.