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Finding the Fourth Proportional to 8,981.50, 13,474.42 and 2,825.50

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Solution

The fourth proportional to 8,981.50, 13,474.42 and 2,825.50 is: 4,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.50 : 13,474.42 = 2,825.50 : x
  2. Step 2: Convert to fraction form
    8,981.50/13,474.42 = 2,825.50/x
  3. Step 3: Cross multiply
    8,981.50x = 13,474.42 × 2,825.50
  4. Step 4: Simplify right side
    8,981.50x = 38,071,973.71
  5. Step 5: Solve for x
    x = 38,071,973.71/8,981.50
  6. Step 6: Final answer
    x = 4,238.93

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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.