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Finding the Fourth Proportional to 26,305, 39,474.78 and 9,889

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Solution

The fourth proportional to 26,305, 39,474.78 and 9,889 is: 14,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305 : 39,474.78 = 9,889 : x
  2. Step 2: Convert to fraction form
    26,305/39,474.78 = 9,889/x
  3. Step 3: Cross multiply
    26,305x = 39,474.78 × 9,889
  4. Step 4: Simplify right side
    26,305x = 390,366,099.42
  5. Step 5: Solve for x
    x = 390,366,099.42/26,305
  6. Step 6: Final answer
    x = 14,840.00

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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.