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Finding the Fourth Proportional to 26,323, 39,484.50 and 7,855

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Solution

The fourth proportional to 26,323, 39,484.50 and 7,855 is: 11,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,323 : 39,484.50 = 7,855 : x
  2. Step 2: Convert to fraction form
    26,323/39,484.50 = 7,855/x
  3. Step 3: Cross multiply
    26,323x = 39,484.50 × 7,855
  4. Step 4: Simplify right side
    26,323x = 310,150,747.50
  5. Step 5: Solve for x
    x = 310,150,747.50/26,323
  6. Step 6: Final answer
    x = 11,782.50

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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.