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Finding the Fourth Proportional to 30,771.50, 45,915.73 and 28,890.68

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Solution

The fourth proportional to 30,771.50, 45,915.73 and 28,890.68 is: 43,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.50 : 45,915.73 = 28,890.68 : x
  2. Step 2: Convert to fraction form
    30,771.50/45,915.73 = 28,890.68/x
  3. Step 3: Cross multiply
    30,771.50x = 45,915.73 × 28,890.68
  4. Step 4: Simplify right side
    30,771.50x = 1,326,536,517.94
  5. Step 5: Solve for x
    x = 1,326,536,517.94/30,771.50
  6. Step 6: Final answer
    x = 43,109.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.