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Finding the Fourth Proportional to 30,508.70, 45,766.76 and 10,783.22

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Solution

The fourth proportional to 30,508.70, 45,766.76 and 10,783.22 is: 16,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.70 : 45,766.76 = 10,783.22 : x
  2. Step 2: Convert to fraction form
    30,508.70/45,766.76 = 10,783.22/x
  3. Step 3: Cross multiply
    30,508.70x = 45,766.76 × 10,783.22
  4. Step 4: Simplify right side
    30,508.70x = 493,512,759.02
  5. Step 5: Solve for x
    x = 493,512,759.02/30,508.70
  6. Step 6: Final answer
    x = 16,176.13

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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.