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Finding the Fourth Proportional to 26,805, 40,210.38 and 12,020.52

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Solution

The fourth proportional to 26,805, 40,210.38 and 12,020.52 is: 18,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805 : 40,210.38 = 12,020.52 : x
  2. Step 2: Convert to fraction form
    26,805/40,210.38 = 12,020.52/x
  3. Step 3: Cross multiply
    26,805x = 40,210.38 × 12,020.52
  4. Step 4: Simplify right side
    26,805x = 483,349,677.00
  5. Step 5: Solve for x
    x = 483,349,677.00/26,805
  6. Step 6: Final answer
    x = 18,032.07

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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.