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Finding the Fourth Proportional to 9,322.86, 13,980.95 and 3,081.72

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Solution

The fourth proportional to 9,322.86, 13,980.95 and 3,081.72 is: 4,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.86 : 13,980.95 = 3,081.72 : x
  2. Step 2: Convert to fraction form
    9,322.86/13,980.95 = 3,081.72/x
  3. Step 3: Cross multiply
    9,322.86x = 13,980.95 × 3,081.72
  4. Step 4: Simplify right side
    9,322.86x = 43,085,311.03
  5. Step 5: Solve for x
    x = 43,085,311.03/9,322.86
  6. Step 6: Final answer
    x = 4,621.47

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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.