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Finding the Fourth Proportional to 13,399, 18,490.66 and 7,431.08

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Solution

The fourth proportional to 13,399, 18,490.66 and 7,431.08 is: 10,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399 : 18,490.66 = 7,431.08 : x
  2. Step 2: Convert to fraction form
    13,399/18,490.66 = 7,431.08/x
  3. Step 3: Cross multiply
    13,399x = 18,490.66 × 7,431.08
  4. Step 4: Simplify right side
    13,399x = 137,405,573.71
  5. Step 5: Solve for x
    x = 137,405,573.71/13,399
  6. Step 6: Final answer
    x = 10,254.91

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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.