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Finding the Fourth Proportional to 38,515.76, 57,783.36 and 10,813.76

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Solution

The fourth proportional to 38,515.76, 57,783.36 and 10,813.76 is: 16,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.76 : 57,783.36 = 10,813.76 : x
  2. Step 2: Convert to fraction form
    38,515.76/57,783.36 = 10,813.76/x
  3. Step 3: Cross multiply
    38,515.76x = 57,783.36 × 10,813.76
  4. Step 4: Simplify right side
    38,515.76x = 624,855,387.03
  5. Step 5: Solve for x
    x = 624,855,387.03/38,515.76
  6. Step 6: Final answer
    x = 16,223.37

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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.