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Finding the Fourth Proportional to 9,925, 13,696.50 and 5,509

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Solution

The fourth proportional to 9,925, 13,696.50 and 5,509 is: 7,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925 : 13,696.50 = 5,509 : x
  2. Step 2: Convert to fraction form
    9,925/13,696.50 = 5,509/x
  3. Step 3: Cross multiply
    9,925x = 13,696.50 × 5,509
  4. Step 4: Simplify right side
    9,925x = 75,454,018.50
  5. Step 5: Solve for x
    x = 75,454,018.50/9,925
  6. Step 6: Final answer
    x = 7,602.42

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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.