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Finding the Fourth Proportional to 26,907.45, 40,358.45 and 7,188

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Solution

The fourth proportional to 26,907.45, 40,358.45 and 7,188 is: 10,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.45 : 40,358.45 = 7,188 : x
  2. Step 2: Convert to fraction form
    26,907.45/40,358.45 = 7,188/x
  3. Step 3: Cross multiply
    26,907.45x = 40,358.45 × 7,188
  4. Step 4: Simplify right side
    26,907.45x = 290,096,538.60
  5. Step 5: Solve for x
    x = 290,096,538.60/26,907.45
  6. Step 6: Final answer
    x = 10,781.27

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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.