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Finding the Fourth Proportional to 19,551.48, 26,980.34 and 11,589

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Solution

The fourth proportional to 19,551.48, 26,980.34 and 11,589 is: 15,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,551.48 : 26,980.34 = 11,589 : x
  2. Step 2: Convert to fraction form
    19,551.48/26,980.34 = 11,589/x
  3. Step 3: Cross multiply
    19,551.48x = 26,980.34 × 11,589
  4. Step 4: Simplify right side
    19,551.48x = 312,675,160.26
  5. Step 5: Solve for x
    x = 312,675,160.26/19,551.48
  6. Step 6: Final answer
    x = 15,992.40

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1.5x scale

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.