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Finding the Fourth Proportional to 39,289, 58,944.32 and 11,587

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Solution

The fourth proportional to 39,289, 58,944.32 and 11,587 is: 17,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,289 : 58,944.32 = 11,587 : x
  2. Step 2: Convert to fraction form
    39,289/58,944.32 = 11,587/x
  3. Step 3: Cross multiply
    39,289x = 58,944.32 × 11,587
  4. Step 4: Simplify right side
    39,289x = 682,987,835.84
  5. Step 5: Solve for x
    x = 682,987,835.84/39,289
  6. Step 6: Final answer
    x = 17,383.69

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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.