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Finding the Fourth Proportional to 38,400.50, 57,604.05 and 10,698.50

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Solution

The fourth proportional to 38,400.50, 57,604.05 and 10,698.50 is: 16,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.50 : 57,604.05 = 10,698.50 : x
  2. Step 2: Convert to fraction form
    38,400.50/57,604.05 = 10,698.50/x
  3. Step 3: Cross multiply
    38,400.50x = 57,604.05 × 10,698.50
  4. Step 4: Simplify right side
    38,400.50x = 616,276,928.93
  5. Step 5: Solve for x
    x = 616,276,928.93/38,400.50
  6. Step 6: Final answer
    x = 16,048.67

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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.