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Finding the Fourth Proportional to 13,556.62, 18,707.79 and 7,588

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Solution

The fourth proportional to 13,556.62, 18,707.79 and 7,588 is: 10,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.62 : 18,707.79 = 7,588 : x
  2. Step 2: Convert to fraction form
    13,556.62/18,707.79 = 7,588/x
  3. Step 3: Cross multiply
    13,556.62x = 18,707.79 × 7,588
  4. Step 4: Simplify right side
    13,556.62x = 141,954,710.52
  5. Step 5: Solve for x
    x = 141,954,710.52/13,556.62
  6. Step 6: Final answer
    x = 10,471.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.