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Finding the Fourth Proportional to 26,841.78, 40,261.86 and 11,259

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Solution

The fourth proportional to 26,841.78, 40,261.86 and 11,259 is: 16,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841.78 : 40,261.86 = 11,259 : x
  2. Step 2: Convert to fraction form
    26,841.78/40,261.86 = 11,259/x
  3. Step 3: Cross multiply
    26,841.78x = 40,261.86 × 11,259
  4. Step 4: Simplify right side
    26,841.78x = 453,308,281.74
  5. Step 5: Solve for x
    x = 453,308,281.74/26,841.78
  6. Step 6: Final answer
    x = 16,888.16

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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.