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Finding the Fourth Proportional to 9,323.82, 13,981.64 and 4,940.28

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Solution

The fourth proportional to 9,323.82, 13,981.64 and 4,940.28 is: 7,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.82 : 13,981.64 = 4,940.28 : x
  2. Step 2: Convert to fraction form
    9,323.82/13,981.64 = 4,940.28/x
  3. Step 3: Cross multiply
    9,323.82x = 13,981.64 × 4,940.28
  4. Step 4: Simplify right side
    9,323.82x = 69,073,191.76
  5. Step 5: Solve for x
    x = 69,073,191.76/9,323.82
  6. Step 6: Final answer
    x = 7,408.25

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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.