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Finding the Fourth Proportional to 30,491.82, 45,704.36 and 15,701.63

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Solution

The fourth proportional to 30,491.82, 45,704.36 and 15,701.63 is: 23,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.82 : 45,704.36 = 15,701.63 : x
  2. Step 2: Convert to fraction form
    30,491.82/45,704.36 = 15,701.63/x
  3. Step 3: Cross multiply
    30,491.82x = 45,704.36 × 15,701.63
  4. Step 4: Simplify right side
    30,491.82x = 717,632,760.84
  5. Step 5: Solve for x
    x = 717,632,760.84/30,491.82
  6. Step 6: Final answer
    x = 23,535.26

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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.