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Finding the Fourth Proportional to 9,869, 13,643.52 and 9,455.92

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Solution

The fourth proportional to 9,869, 13,643.52 and 9,455.92 is: 13,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 13,643.52 = 9,455.92 : x
  2. Step 2: Convert to fraction form
    9,869/13,643.52 = 9,455.92/x
  3. Step 3: Cross multiply
    9,869x = 13,643.52 × 9,455.92
  4. Step 4: Simplify right side
    9,869x = 129,012,033.64
  5. Step 5: Solve for x
    x = 129,012,033.64/9,869
  6. Step 6: Final answer
    x = 13,072.45

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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.