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Finding the Fourth Proportional to 39,291, 58,947.30 and 11,589

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Solution

The fourth proportional to 39,291, 58,947.30 and 11,589 is: 17,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,291 : 58,947.30 = 11,589 : x
  2. Step 2: Convert to fraction form
    39,291/58,947.30 = 11,589/x
  3. Step 3: Cross multiply
    39,291x = 58,947.30 × 11,589
  4. Step 4: Simplify right side
    39,291x = 683,140,259.70
  5. Step 5: Solve for x
    x = 683,140,259.70/39,291
  6. Step 6: Final answer
    x = 17,386.69

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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.