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Finding the Fourth Proportional to 9,422.81, 14,121 and 7,081.32

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Solution

The fourth proportional to 9,422.81, 14,121 and 7,081.32 is: 10,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.81 : 14,121 = 7,081.32 : x
  2. Step 2: Convert to fraction form
    9,422.81/14,121 = 7,081.32/x
  3. Step 3: Cross multiply
    9,422.81x = 14,121 × 7,081.32
  4. Step 4: Simplify right side
    9,422.81x = 99,995,319.72
  5. Step 5: Solve for x
    x = 99,995,319.72/9,422.81
  6. Step 6: Final answer
    x = 10,612.05

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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.