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Finding the Fourth Proportional to 21,031, 31,546.50 and 9,343.32

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Solution

The fourth proportional to 21,031, 31,546.50 and 9,343.32 is: 14,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031 : 31,546.50 = 9,343.32 : x
  2. Step 2: Convert to fraction form
    21,031/31,546.50 = 9,343.32/x
  3. Step 3: Cross multiply
    21,031x = 31,546.50 × 9,343.32
  4. Step 4: Simplify right side
    21,031x = 294,749,044.38
  5. Step 5: Solve for x
    x = 294,749,044.38/21,031
  6. Step 6: Final answer
    x = 14,014.98

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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.