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Finding the Fourth Proportional to 30,271.50, 45,407.73 and 8,383.50

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Solution

The fourth proportional to 30,271.50, 45,407.73 and 8,383.50 is: 12,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.50 : 45,407.73 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    30,271.50/45,407.73 = 8,383.50/x
  3. Step 3: Cross multiply
    30,271.50x = 45,407.73 × 8,383.50
  4. Step 4: Simplify right side
    30,271.50x = 380,675,704.46
  5. Step 5: Solve for x
    x = 380,675,704.46/30,271.50
  6. Step 6: Final answer
    x = 12,575.38

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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.