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Finding the Fourth Proportional to 9,146, 13,721.16 and 2,990

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Solution

The fourth proportional to 9,146, 13,721.16 and 2,990 is: 4,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 13,721.16 = 2,990 : x
  2. Step 2: Convert to fraction form
    9,146/13,721.16 = 2,990/x
  3. Step 3: Cross multiply
    9,146x = 13,721.16 × 2,990
  4. Step 4: Simplify right side
    9,146x = 41,026,268.40
  5. Step 5: Solve for x
    x = 41,026,268.40/9,146
  6. Step 6: Final answer
    x = 4,485.71

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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.