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Finding the Fourth Proportional to 7,016.21, 9,678.04 and 4,181.68

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Solution

The fourth proportional to 7,016.21, 9,678.04 and 4,181.68 is: 5,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.21 : 9,678.04 = 4,181.68 : x
  2. Step 2: Convert to fraction form
    7,016.21/9,678.04 = 4,181.68/x
  3. Step 3: Cross multiply
    7,016.21x = 9,678.04 × 4,181.68
  4. Step 4: Simplify right side
    7,016.21x = 40,470,466.31
  5. Step 5: Solve for x
    x = 40,470,466.31/7,016.21
  6. Step 6: Final answer
    x = 5,768.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.