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Finding the Fourth Proportional to 9,609, 14,417.82 and 5,505

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Solution

The fourth proportional to 9,609, 14,417.82 and 5,505 is: 8,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609 : 14,417.82 = 5,505 : x
  2. Step 2: Convert to fraction form
    9,609/14,417.82 = 5,505/x
  3. Step 3: Cross multiply
    9,609x = 14,417.82 × 5,505
  4. Step 4: Simplify right side
    9,609x = 79,370,099.10
  5. Step 5: Solve for x
    x = 79,370,099.10/9,609
  6. Step 6: Final answer
    x = 8,259.97

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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.