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Finding the Fourth Proportional to 13,265, 19,898 and 4,947.12

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Solution

The fourth proportional to 13,265, 19,898 and 4,947.12 is: 7,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265 : 19,898 = 4,947.12 : x
  2. Step 2: Convert to fraction form
    13,265/19,898 = 4,947.12/x
  3. Step 3: Cross multiply
    13,265x = 19,898 × 4,947.12
  4. Step 4: Simplify right side
    13,265x = 98,437,793.76
  5. Step 5: Solve for x
    x = 98,437,793.76/13,265
  6. Step 6: Final answer
    x = 7,420.87

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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.