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Finding the Fourth Proportional to 30,570.82, 45,852.64 and 8,386.44

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Solution

The fourth proportional to 30,570.82, 45,852.64 and 8,386.44 is: 12,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.82 : 45,852.64 = 8,386.44 : x
  2. Step 2: Convert to fraction form
    30,570.82/45,852.64 = 8,386.44/x
  3. Step 3: Cross multiply
    30,570.82x = 45,852.64 × 8,386.44
  4. Step 4: Simplify right side
    30,570.82x = 384,540,414.20
  5. Step 5: Solve for x
    x = 384,540,414.20/30,570.82
  6. Step 6: Final answer
    x = 12,578.68

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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.