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Finding the Fourth Proportional to 14,970, 20,658.20 and 8,255.28

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Solution

The fourth proportional to 14,970, 20,658.20 and 8,255.28 is: 11,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 20,658.20 = 8,255.28 : x
  2. Step 2: Convert to fraction form
    14,970/20,658.20 = 8,255.28/x
  3. Step 3: Cross multiply
    14,970x = 20,658.20 × 8,255.28
  4. Step 4: Simplify right side
    14,970x = 170,539,225.30
  5. Step 5: Solve for x
    x = 170,539,225.30/14,970
  6. Step 6: Final answer
    x = 11,392.07

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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.