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Finding the Fourth Proportional to 9,163.65, 12,646.09 and 4,971.90

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Solution

The fourth proportional to 9,163.65, 12,646.09 and 4,971.90 is: 6,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.65 : 12,646.09 = 4,971.90 : x
  2. Step 2: Convert to fraction form
    9,163.65/12,646.09 = 4,971.90/x
  3. Step 3: Cross multiply
    9,163.65x = 12,646.09 × 4,971.90
  4. Step 4: Simplify right side
    9,163.65x = 62,875,094.87
  5. Step 5: Solve for x
    x = 62,875,094.87/9,163.65
  6. Step 6: Final answer
    x = 6,861.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.