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Finding the Fourth Proportional to 21,021.08, 31,520 and 8,358.01

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Solution

The fourth proportional to 21,021.08, 31,520 and 8,358.01 is: 12,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.08 : 31,520 = 8,358.01 : x
  2. Step 2: Convert to fraction form
    21,021.08/31,520 = 8,358.01/x
  3. Step 3: Cross multiply
    21,021.08x = 31,520 × 8,358.01
  4. Step 4: Simplify right side
    21,021.08x = 263,444,475.20
  5. Step 5: Solve for x
    x = 263,444,475.20/21,021.08
  6. Step 6: Final answer
    x = 12,532.39

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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.