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Finding the Fourth Proportional to 26,821.50, 40,238.75 and 8,353.50

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Solution

The fourth proportional to 26,821.50, 40,238.75 and 8,353.50 is: 12,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.50 : 40,238.75 = 8,353.50 : x
  2. Step 2: Convert to fraction form
    26,821.50/40,238.75 = 8,353.50/x
  3. Step 3: Cross multiply
    26,821.50x = 40,238.75 × 8,353.50
  4. Step 4: Simplify right side
    26,821.50x = 336,134,398.13
  5. Step 5: Solve for x
    x = 336,134,398.13/26,821.50
  6. Step 6: Final answer
    x = 12,532.27

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1.5x scale

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.