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Finding the Fourth Proportional to 14,905, 22,355 and 4,514.28

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Solution

The fourth proportional to 14,905, 22,355 and 4,514.28 is: 6,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905 : 22,355 = 4,514.28 : x
  2. Step 2: Convert to fraction form
    14,905/22,355 = 4,514.28/x
  3. Step 3: Cross multiply
    14,905x = 22,355 × 4,514.28
  4. Step 4: Simplify right side
    14,905x = 100,916,729.40
  5. Step 5: Solve for x
    x = 100,916,729.40/14,905
  6. Step 6: Final answer
    x = 6,770.66

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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.