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Finding the Fourth Proportional to 26,865.78, 40,295.78 and 7,146.02

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Solution

The fourth proportional to 26,865.78, 40,295.78 and 7,146.02 is: 10,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,865.78 : 40,295.78 = 7,146.02 : x
  2. Step 2: Convert to fraction form
    26,865.78/40,295.78 = 7,146.02/x
  3. Step 3: Cross multiply
    26,865.78x = 40,295.78 × 7,146.02
  4. Step 4: Simplify right side
    26,865.78x = 287,954,541.60
  5. Step 5: Solve for x
    x = 287,954,541.60/26,865.78
  6. Step 6: Final answer
    x = 10,718.27

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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.