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Finding the Fourth Proportional to 37,638, 56,478.87 and 16,861.50

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Solution

The fourth proportional to 37,638, 56,478.87 and 16,861.50 is: 25,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638 : 56,478.87 = 16,861.50 : x
  2. Step 2: Convert to fraction form
    37,638/56,478.87 = 16,861.50/x
  3. Step 3: Cross multiply
    37,638x = 56,478.87 × 16,861.50
  4. Step 4: Simplify right side
    37,638x = 952,318,466.51
  5. Step 5: Solve for x
    x = 952,318,466.51/37,638
  6. Step 6: Final answer
    x = 25,302.05

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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.