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Finding the Fourth Proportional to 35,704.40, 53,518.20 and 13,509.20

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Solution

The fourth proportional to 35,704.40, 53,518.20 and 13,509.20 is: 20,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.40 : 53,518.20 = 13,509.20 : x
  2. Step 2: Convert to fraction form
    35,704.40/53,518.20 = 13,509.20/x
  3. Step 3: Cross multiply
    35,704.40x = 53,518.20 × 13,509.20
  4. Step 4: Simplify right side
    35,704.40x = 722,988,067.44
  5. Step 5: Solve for x
    x = 722,988,067.44/35,704.40
  6. Step 6: Final answer
    x = 20,249.27

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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.