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Finding the Fourth Proportional to 35,406.80, 53,114.04 and 13,230.80

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Solution

The fourth proportional to 35,406.80, 53,114.04 and 13,230.80 is: 19,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.80 : 53,114.04 = 13,230.80 : x
  2. Step 2: Convert to fraction form
    35,406.80/53,114.04 = 13,230.80/x
  3. Step 3: Cross multiply
    35,406.80x = 53,114.04 × 13,230.80
  4. Step 4: Simplify right side
    35,406.80x = 702,741,240.43
  5. Step 5: Solve for x
    x = 702,741,240.43/35,406.80
  6. Step 6: Final answer
    x = 19,847.63

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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.