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Finding the Fourth Proportional to 11,589.99, 15,991.47 and 7,820.13

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Solution

The fourth proportional to 11,589.99, 15,991.47 and 7,820.13 is: 10,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.99 : 15,991.47 = 7,820.13 : x
  2. Step 2: Convert to fraction form
    11,589.99/15,991.47 = 7,820.13/x
  3. Step 3: Cross multiply
    11,589.99x = 15,991.47 × 7,820.13
  4. Step 4: Simplify right side
    11,589.99x = 125,055,374.29
  5. Step 5: Solve for x
    x = 125,055,374.29/11,589.99
  6. Step 6: Final answer
    x = 10,789.95

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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.