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Finding the Fourth Proportional to 39,290, 58,945.80 and 11,588

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Solution

The fourth proportional to 39,290, 58,945.80 and 11,588 is: 17,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,290 : 58,945.80 = 11,588 : x
  2. Step 2: Convert to fraction form
    39,290/58,945.80 = 11,588/x
  3. Step 3: Cross multiply
    39,290x = 58,945.80 × 11,588
  4. Step 4: Simplify right side
    39,290x = 683,063,930.40
  5. Step 5: Solve for x
    x = 683,063,930.40/39,290
  6. Step 6: Final answer
    x = 17,385.19

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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.