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Finding the Fourth Proportional to 14,130, 21,195 and 3,741.75

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Solution

The fourth proportional to 14,130, 21,195 and 3,741.75 is: 5,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 21,195 = 3,741.75 : x
  2. Step 2: Convert to fraction form
    14,130/21,195 = 3,741.75/x
  3. Step 3: Cross multiply
    14,130x = 21,195 × 3,741.75
  4. Step 4: Simplify right side
    14,130x = 79,306,391.25
  5. Step 5: Solve for x
    x = 79,306,391.25/14,130
  6. Step 6: Final answer
    x = 5,612.63

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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.