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Finding the Fourth Proportional to 26,208, 39,298.64 and 8,671.50

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Solution

The fourth proportional to 26,208, 39,298.64 and 8,671.50 is: 13,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 39,298.64 = 8,671.50 : x
  2. Step 2: Convert to fraction form
    26,208/39,298.64 = 8,671.50/x
  3. Step 3: Cross multiply
    26,208x = 39,298.64 × 8,671.50
  4. Step 4: Simplify right side
    26,208x = 340,778,113.40
  5. Step 5: Solve for x
    x = 340,778,113.40/26,208
  6. Step 6: Final answer
    x = 13,002.83

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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.