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Finding the Fourth Proportional to 30,012.82, 45,019.26 and 7,826.18

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Solution

The fourth proportional to 30,012.82, 45,019.26 and 7,826.18 is: 11,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.82 : 45,019.26 = 7,826.18 : x
  2. Step 2: Convert to fraction form
    30,012.82/45,019.26 = 7,826.18/x
  3. Step 3: Cross multiply
    30,012.82x = 45,019.26 × 7,826.18
  4. Step 4: Simplify right side
    30,012.82x = 352,328,607.13
  5. Step 5: Solve for x
    x = 352,328,607.13/30,012.82
  6. Step 6: Final answer
    x = 11,739.27

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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.