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Finding the Fourth Proportional to 21,612, 32,418 and 7,020

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Solution

The fourth proportional to 21,612, 32,418 and 7,020 is: 10,530

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612 : 32,418 = 7,020 : x
  2. Step 2: Convert to fraction form
    21,612/32,418 = 7,020/x
  3. Step 3: Cross multiply
    21,612x = 32,418 × 7,020
  4. Step 4: Simplify right side
    21,612x = 227,574,360
  5. Step 5: Solve for x
    x = 227,574,360/21,612
  6. Step 6: Final answer
    x = 10,530

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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.