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Finding the Fourth Proportional to 12,160, 18,240 and 2,926

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Solution

The fourth proportional to 12,160, 18,240 and 2,926 is: 4,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160 : 18,240 = 2,926 : x
  2. Step 2: Convert to fraction form
    12,160/18,240 = 2,926/x
  3. Step 3: Cross multiply
    12,160x = 18,240 × 2,926
  4. Step 4: Simplify right side
    12,160x = 53,370,240
  5. Step 5: Solve for x
    x = 53,370,240/12,160
  6. Step 6: Final answer
    x = 4,389

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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.