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Finding the Fourth Proportional to 35,696.80, 53,480.40 and 21,829.60

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Solution

The fourth proportional to 35,696.80, 53,480.40 and 21,829.60 is: 32,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.80 : 53,480.40 = 21,829.60 : x
  2. Step 2: Convert to fraction form
    35,696.80/53,480.40 = 21,829.60/x
  3. Step 3: Cross multiply
    35,696.80x = 53,480.40 × 21,829.60
  4. Step 4: Simplify right side
    35,696.80x = 1,167,455,739.84
  5. Step 5: Solve for x
    x = 1,167,455,739.84/35,696.80
  6. Step 6: Final answer
    x = 32,704.77

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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.