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Finding the Fourth Proportional to 9,336, 13,999.05 and 2,761.28

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Solution

The fourth proportional to 9,336, 13,999.05 and 2,761.28 is: 4,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336 : 13,999.05 = 2,761.28 : x
  2. Step 2: Convert to fraction form
    9,336/13,999.05 = 2,761.28/x
  3. Step 3: Cross multiply
    9,336x = 13,999.05 × 2,761.28
  4. Step 4: Simplify right side
    9,336x = 38,655,226.79
  5. Step 5: Solve for x
    x = 38,655,226.79/9,336
  6. Step 6: Final answer
    x = 4,140.45

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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.