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Finding the Fourth Proportional to 22,970, 34,455 and 6,330.20

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Solution

The fourth proportional to 22,970, 34,455 and 6,330.20 is: 9,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970 : 34,455 = 6,330.20 : x
  2. Step 2: Convert to fraction form
    22,970/34,455 = 6,330.20/x
  3. Step 3: Cross multiply
    22,970x = 34,455 × 6,330.20
  4. Step 4: Simplify right side
    22,970x = 218,107,041
  5. Step 5: Solve for x
    x = 218,107,041/22,970
  6. Step 6: Final answer
    x = 9,495.30

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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.