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Finding the Fourth Proportional to 26,289, 39,427.60 and 7,564.86

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Solution

The fourth proportional to 26,289, 39,427.60 and 7,564.86 is: 11,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289 : 39,427.60 = 7,564.86 : x
  2. Step 2: Convert to fraction form
    26,289/39,427.60 = 7,564.86/x
  3. Step 3: Cross multiply
    26,289x = 39,427.60 × 7,564.86
  4. Step 4: Simplify right side
    26,289x = 298,264,274.14
  5. Step 5: Solve for x
    x = 298,264,274.14/26,289
  6. Step 6: Final answer
    x = 11,345.59

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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.