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Finding the Fourth Proportional to 26,240, 39,360 and 6,784

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Solution

The fourth proportional to 26,240, 39,360 and 6,784 is: 10,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240 : 39,360 = 6,784 : x
  2. Step 2: Convert to fraction form
    26,240/39,360 = 6,784/x
  3. Step 3: Cross multiply
    26,240x = 39,360 × 6,784
  4. Step 4: Simplify right side
    26,240x = 267,018,240
  5. Step 5: Solve for x
    x = 267,018,240/26,240
  6. Step 6: Final answer
    x = 10,176

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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.