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Finding the Fourth Proportional to 14,929, 20,602.10 and 8,305

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Solution

The fourth proportional to 14,929, 20,602.10 and 8,305 is: 11,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929 : 20,602.10 = 8,305 : x
  2. Step 2: Convert to fraction form
    14,929/20,602.10 = 8,305/x
  3. Step 3: Cross multiply
    14,929x = 20,602.10 × 8,305
  4. Step 4: Simplify right side
    14,929x = 171,100,440.50
  5. Step 5: Solve for x
    x = 171,100,440.50/14,929
  6. Step 6: Final answer
    x = 11,460.94

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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.