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Finding the Fourth Proportional to 30,090, 45,135 and 8,202

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Solution

The fourth proportional to 30,090, 45,135 and 8,202 is: 12,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090 : 45,135 = 8,202 : x
  2. Step 2: Convert to fraction form
    30,090/45,135 = 8,202/x
  3. Step 3: Cross multiply
    30,090x = 45,135 × 8,202
  4. Step 4: Simplify right side
    30,090x = 370,197,270
  5. Step 5: Solve for x
    x = 370,197,270/30,090
  6. Step 6: Final answer
    x = 12,303

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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.