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Finding the Fourth Proportional to 30,094, 45,143.40 and 9,317.44

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Solution

The fourth proportional to 30,094, 45,143.40 and 9,317.44 is: 13,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094 : 45,143.40 = 9,317.44 : x
  2. Step 2: Convert to fraction form
    30,094/45,143.40 = 9,317.44/x
  3. Step 3: Cross multiply
    30,094x = 45,143.40 × 9,317.44
  4. Step 4: Simplify right side
    30,094x = 420,620,920.90
  5. Step 5: Solve for x
    x = 420,620,920.90/30,094
  6. Step 6: Final answer
    x = 13,976.90

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Double scale
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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.