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Finding the Fourth Proportional to 9,901, 13,663.38 and 5,485

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Solution

The fourth proportional to 9,901, 13,663.38 and 5,485 is: 7,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901 : 13,663.38 = 5,485 : x
  2. Step 2: Convert to fraction form
    9,901/13,663.38 = 5,485/x
  3. Step 3: Cross multiply
    9,901x = 13,663.38 × 5,485
  4. Step 4: Simplify right side
    9,901x = 74,943,639.30
  5. Step 5: Solve for x
    x = 74,943,639.30/9,901
  6. Step 6: Final answer
    x = 7,569.30

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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.