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Finding the Fourth Proportional to 14,122, 21,170 and 4,881.52

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Solution

The fourth proportional to 14,122, 21,170 and 4,881.52 is: 7,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122 : 21,170 = 4,881.52 : x
  2. Step 2: Convert to fraction form
    14,122/21,170 = 4,881.52/x
  3. Step 3: Cross multiply
    14,122x = 21,170 × 4,881.52
  4. Step 4: Simplify right side
    14,122x = 103,341,778.40
  5. Step 5: Solve for x
    x = 103,341,778.40/14,122
  6. Step 6: Final answer
    x = 7,317.79

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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.