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Finding the Fourth Proportional to 30,225, 45,340.06 and 8,337

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Solution

The fourth proportional to 30,225, 45,340.06 and 8,337 is: 12,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225 : 45,340.06 = 8,337 : x
  2. Step 2: Convert to fraction form
    30,225/45,340.06 = 8,337/x
  3. Step 3: Cross multiply
    30,225x = 45,340.06 × 8,337
  4. Step 4: Simplify right side
    30,225x = 378,000,080.22
  5. Step 5: Solve for x
    x = 378,000,080.22/30,225
  6. Step 6: Final answer
    x = 12,506.21

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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.