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Finding the Fourth Proportional to 26,446.50, 39,671.37 and 7,978.50

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Solution

The fourth proportional to 26,446.50, 39,671.37 and 7,978.50 is: 11,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446.50 : 39,671.37 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    26,446.50/39,671.37 = 7,978.50/x
  3. Step 3: Cross multiply
    26,446.50x = 39,671.37 × 7,978.50
  4. Step 4: Simplify right side
    26,446.50x = 316,518,025.55
  5. Step 5: Solve for x
    x = 316,518,025.55/26,446.50
  6. Step 6: Final answer
    x = 11,968.24

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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.