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Finding the Fourth Proportional to 26,140, 36,048.75 and 20,162.20

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Solution

The fourth proportional to 26,140, 36,048.75 and 20,162.20 is: 27,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140 : 36,048.75 = 20,162.20 : x
  2. Step 2: Convert to fraction form
    26,140/36,048.75 = 20,162.20/x
  3. Step 3: Cross multiply
    26,140x = 36,048.75 × 20,162.20
  4. Step 4: Simplify right side
    26,140x = 726,822,107.25
  5. Step 5: Solve for x
    x = 726,822,107.25/26,140
  6. Step 6: Final answer
    x = 27,804.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.