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Finding the Fourth Proportional to 26,324, 39,486 and 7,856

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Solution

The fourth proportional to 26,324, 39,486 and 7,856 is: 11,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324 : 39,486 = 7,856 : x
  2. Step 2: Convert to fraction form
    26,324/39,486 = 7,856/x
  3. Step 3: Cross multiply
    26,324x = 39,486 × 7,856
  4. Step 4: Simplify right side
    26,324x = 310,202,016
  5. Step 5: Solve for x
    x = 310,202,016/26,324
  6. Step 6: Final answer
    x = 11,784

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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.