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Finding the Fourth Proportional to 21,055.42, 31,593 and 9,207.67

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Solution

The fourth proportional to 21,055.42, 31,593 and 9,207.67 is: 13,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,055.42 : 31,593 = 9,207.67 : x
  2. Step 2: Convert to fraction form
    21,055.42/31,593 = 9,207.67/x
  3. Step 3: Cross multiply
    21,055.42x = 31,593 × 9,207.67
  4. Step 4: Simplify right side
    21,055.42x = 290,897,918.31
  5. Step 5: Solve for x
    x = 290,897,918.31/21,055.42
  6. Step 6: Final answer
    x = 13,815.82

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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.