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Finding the Fourth Proportional to 26,880, 40,320 and 7,424

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Solution

The fourth proportional to 26,880, 40,320 and 7,424 is: 11,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 40,320 = 7,424 : x
  2. Step 2: Convert to fraction form
    26,880/40,320 = 7,424/x
  3. Step 3: Cross multiply
    26,880x = 40,320 × 7,424
  4. Step 4: Simplify right side
    26,880x = 299,335,680
  5. Step 5: Solve for x
    x = 299,335,680/26,880
  6. Step 6: Final answer
    x = 11,136

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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.