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Finding the Fourth Proportional to 6,154.10, 9,230.23 and 1,994.47

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Solution

The fourth proportional to 6,154.10, 9,230.23 and 1,994.47 is: 2,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.10 : 9,230.23 = 1,994.47 : x
  2. Step 2: Convert to fraction form
    6,154.10/9,230.23 = 1,994.47/x
  3. Step 3: Cross multiply
    6,154.10x = 9,230.23 × 1,994.47
  4. Step 4: Simplify right side
    6,154.10x = 18,409,370.68
  5. Step 5: Solve for x
    x = 18,409,370.68/6,154.10
  6. Step 6: Final answer
    x = 2,991.40

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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.