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Finding the Fourth Proportional to 35,684.54, 53,471.21 and 13,485.80

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Solution

The fourth proportional to 35,684.54, 53,471.21 and 13,485.80 is: 20,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.54 : 53,471.21 = 13,485.80 : x
  2. Step 2: Convert to fraction form
    35,684.54/53,471.21 = 13,485.80/x
  3. Step 3: Cross multiply
    35,684.54x = 53,471.21 × 13,485.80
  4. Step 4: Simplify right side
    35,684.54x = 721,101,709.03
  5. Step 5: Solve for x
    x = 721,101,709.03/35,684.54
  6. Step 6: Final answer
    x = 20,207.68

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1.5x scale

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.