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Finding the Fourth Proportional to 8,984, 13,476 and 4,120

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Solution

The fourth proportional to 8,984, 13,476 and 4,120 is: 6,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984 : 13,476 = 4,120 : x
  2. Step 2: Convert to fraction form
    8,984/13,476 = 4,120/x
  3. Step 3: Cross multiply
    8,984x = 13,476 × 4,120
  4. Step 4: Simplify right side
    8,984x = 55,521,120
  5. Step 5: Solve for x
    x = 55,521,120/8,984
  6. Step 6: Final answer
    x = 6,180

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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.