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Finding the Fourth Proportional to 12,772, 19,163.40 and 9,097.84

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Solution

The fourth proportional to 12,772, 19,163.40 and 9,097.84 is: 13,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772 : 19,163.40 = 9,097.84 : x
  2. Step 2: Convert to fraction form
    12,772/19,163.40 = 9,097.84/x
  3. Step 3: Cross multiply
    12,772x = 19,163.40 × 9,097.84
  4. Step 4: Simplify right side
    12,772x = 174,345,547.06
  5. Step 5: Solve for x
    x = 174,345,547.06/12,772
  6. Step 6: Final answer
    x = 13,650.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.