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Finding the Fourth Proportional to 14,788, 20,407.44 and 8,164

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Solution

The fourth proportional to 14,788, 20,407.44 and 8,164 is: 11,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788 : 20,407.44 = 8,164 : x
  2. Step 2: Convert to fraction form
    14,788/20,407.44 = 8,164/x
  3. Step 3: Cross multiply
    14,788x = 20,407.44 × 8,164
  4. Step 4: Simplify right side
    14,788x = 166,606,340.16
  5. Step 5: Solve for x
    x = 166,606,340.16/14,788
  6. Step 6: Final answer
    x = 11,266.32

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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.