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Finding the Fourth Proportional to 26,581.54, 39,862.94 and 7,856.60

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Solution

The fourth proportional to 26,581.54, 39,862.94 and 7,856.60 is: 11,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581.54 : 39,862.94 = 7,856.60 : x
  2. Step 2: Convert to fraction form
    26,581.54/39,862.94 = 7,856.60/x
  3. Step 3: Cross multiply
    26,581.54x = 39,862.94 × 7,856.60
  4. Step 4: Simplify right side
    26,581.54x = 313,187,174.40
  5. Step 5: Solve for x
    x = 313,187,174.40/26,581.54
  6. Step 6: Final answer
    x = 11,782.13

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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.