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Finding the Fourth Proportional to 11,406.94, 15,719.14 and 8,721.19

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Solution

The fourth proportional to 11,406.94, 15,719.14 and 8,721.19 is: 12,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.94 : 15,719.14 = 8,721.19 : x
  2. Step 2: Convert to fraction form
    11,406.94/15,719.14 = 8,721.19/x
  3. Step 3: Cross multiply
    11,406.94x = 15,719.14 × 8,721.19
  4. Step 4: Simplify right side
    11,406.94x = 137,089,606.58
  5. Step 5: Solve for x
    x = 137,089,606.58/11,406.94
  6. Step 6: Final answer
    x = 12,018.09

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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.