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Finding the Fourth Proportional to 35,452.70, 53,128.90 and 19,664.68

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Solution

The fourth proportional to 35,452.70, 53,128.90 and 19,664.68 is: 29,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452.70 : 53,128.90 = 19,664.68 : x
  2. Step 2: Convert to fraction form
    35,452.70/53,128.90 = 19,664.68/x
  3. Step 3: Cross multiply
    35,452.70x = 53,128.90 × 19,664.68
  4. Step 4: Simplify right side
    35,452.70x = 1,044,762,817.25
  5. Step 5: Solve for x
    x = 1,044,762,817.25/35,452.70
  6. Step 6: Final answer
    x = 29,469.20

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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.