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Finding the Fourth Proportional to 26,842, 40,268.76 and 10,426

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Solution

The fourth proportional to 26,842, 40,268.76 and 10,426 is: 15,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842 : 40,268.76 = 10,426 : x
  2. Step 2: Convert to fraction form
    26,842/40,268.76 = 10,426/x
  3. Step 3: Cross multiply
    26,842x = 40,268.76 × 10,426
  4. Step 4: Simplify right side
    26,842x = 419,842,091.76
  5. Step 5: Solve for x
    x = 419,842,091.76/26,842
  6. Step 6: Final answer
    x = 15,641.24

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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.