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Finding the Fourth Proportional to 9,920, 13,689.60 and 5,504

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Solution

The fourth proportional to 9,920, 13,689.60 and 5,504 is: 7,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920 : 13,689.60 = 5,504 : x
  2. Step 2: Convert to fraction form
    9,920/13,689.60 = 5,504/x
  3. Step 3: Cross multiply
    9,920x = 13,689.60 × 5,504
  4. Step 4: Simplify right side
    9,920x = 75,347,558.40
  5. Step 5: Solve for x
    x = 75,347,558.40/9,920
  6. Step 6: Final answer
    x = 7,595.52

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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.