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Finding the Fourth Proportional to 35,438.60, 53,138.70 and 14,638.60

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Solution

The fourth proportional to 35,438.60, 53,138.70 and 14,638.60 is: 21,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438.60 : 53,138.70 = 14,638.60 : x
  2. Step 2: Convert to fraction form
    35,438.60/53,138.70 = 14,638.60/x
  3. Step 3: Cross multiply
    35,438.60x = 53,138.70 × 14,638.60
  4. Step 4: Simplify right side
    35,438.60x = 777,876,173.82
  5. Step 5: Solve for x
    x = 777,876,173.82/35,438.60
  6. Step 6: Final answer
    x = 21,949.97

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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.