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Finding the Fourth Proportional to 13,886, 19,163.64 and 9,162.08

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Solution

The fourth proportional to 13,886, 19,163.64 and 9,162.08 is: 12,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 19,163.64 = 9,162.08 : x
  2. Step 2: Convert to fraction form
    13,886/19,163.64 = 9,162.08/x
  3. Step 3: Cross multiply
    13,886x = 19,163.64 × 9,162.08
  4. Step 4: Simplify right side
    13,886x = 175,578,802.77
  5. Step 5: Solve for x
    x = 175,578,802.77/13,886
  6. Step 6: Final answer
    x = 12,644.30

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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.