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Finding the Fourth Proportional to 30,205.40, 45,308.10 and 8,022.20

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Solution

The fourth proportional to 30,205.40, 45,308.10 and 8,022.20 is: 12,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.40 : 45,308.10 = 8,022.20 : x
  2. Step 2: Convert to fraction form
    30,205.40/45,308.10 = 8,022.20/x
  3. Step 3: Cross multiply
    30,205.40x = 45,308.10 × 8,022.20
  4. Step 4: Simplify right side
    30,205.40x = 363,470,639.82
  5. Step 5: Solve for x
    x = 363,470,639.82/30,205.40
  6. Step 6: Final answer
    x = 12,033.30

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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.