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Finding the Fourth Proportional to 13,100, 19,650 and 3,865.76

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Solution

The fourth proportional to 13,100, 19,650 and 3,865.76 is: 5,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 19,650 = 3,865.76 : x
  2. Step 2: Convert to fraction form
    13,100/19,650 = 3,865.76/x
  3. Step 3: Cross multiply
    13,100x = 19,650 × 3,865.76
  4. Step 4: Simplify right side
    13,100x = 75,962,184
  5. Step 5: Solve for x
    x = 75,962,184/13,100
  6. Step 6: Final answer
    x = 5,798.64

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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.