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Finding the Fourth Proportional to 26,312, 39,468 and 6,856

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Solution

The fourth proportional to 26,312, 39,468 and 6,856 is: 10,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312 : 39,468 = 6,856 : x
  2. Step 2: Convert to fraction form
    26,312/39,468 = 6,856/x
  3. Step 3: Cross multiply
    26,312x = 39,468 × 6,856
  4. Step 4: Simplify right side
    26,312x = 270,592,608
  5. Step 5: Solve for x
    x = 270,592,608/26,312
  6. Step 6: Final answer
    x = 10,284

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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.