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Finding the Fourth Proportional to 30,706.46, 46,057.63 and 8,520.03

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Solution

The fourth proportional to 30,706.46, 46,057.63 and 8,520.03 is: 12,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.46 : 46,057.63 = 8,520.03 : x
  2. Step 2: Convert to fraction form
    30,706.46/46,057.63 = 8,520.03/x
  3. Step 3: Cross multiply
    30,706.46x = 46,057.63 × 8,520.03
  4. Step 4: Simplify right side
    30,706.46x = 392,412,389.33
  5. Step 5: Solve for x
    x = 392,412,389.33/30,706.46
  6. Step 6: Final answer
    x = 12,779.47

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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.