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Finding the Fourth Proportional to 14,795, 20,417 and 8,080.63

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Solution

The fourth proportional to 14,795, 20,417 and 8,080.63 is: 11,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,795 : 20,417 = 8,080.63 : x
  2. Step 2: Convert to fraction form
    14,795/20,417 = 8,080.63/x
  3. Step 3: Cross multiply
    14,795x = 20,417 × 8,080.63
  4. Step 4: Simplify right side
    14,795x = 164,982,222.71
  5. Step 5: Solve for x
    x = 164,982,222.71/14,795
  6. Step 6: Final answer
    x = 11,151.21

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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.