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Finding the Fourth Proportional to 12,471.03, 17,207.64 and 7,166.07

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Solution

The fourth proportional to 12,471.03, 17,207.64 and 7,166.07 is: 9,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.03 : 17,207.64 = 7,166.07 : x
  2. Step 2: Convert to fraction form
    12,471.03/17,207.64 = 7,166.07/x
  3. Step 3: Cross multiply
    12,471.03x = 17,207.64 × 7,166.07
  4. Step 4: Simplify right side
    12,471.03x = 123,311,152.77
  5. Step 5: Solve for x
    x = 123,311,152.77/12,471.03
  6. Step 6: Final answer
    x = 9,887.81

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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.