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Finding the Fourth Proportional to 26,965, 40,455.48 and 13,826.59

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Solution

The fourth proportional to 26,965, 40,455.48 and 13,826.59 is: 20,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965 : 40,455.48 = 13,826.59 : x
  2. Step 2: Convert to fraction form
    26,965/40,455.48 = 13,826.59/x
  3. Step 3: Cross multiply
    26,965x = 40,455.48 × 13,826.59
  4. Step 4: Simplify right side
    26,965x = 559,361,335.21
  5. Step 5: Solve for x
    x = 559,361,335.21/26,965
  6. Step 6: Final answer
    x = 20,743.98

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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.