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Finding the Fourth Proportional to 11,804.64, 17,724.39 and 7,880.34

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Solution

The fourth proportional to 11,804.64, 17,724.39 and 7,880.34 is: 11,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.64 : 17,724.39 = 7,880.34 : x
  2. Step 2: Convert to fraction form
    11,804.64/17,724.39 = 7,880.34/x
  3. Step 3: Cross multiply
    11,804.64x = 17,724.39 × 7,880.34
  4. Step 4: Simplify right side
    11,804.64x = 139,674,219.49
  5. Step 5: Solve for x
    x = 139,674,219.49/11,804.64
  6. Step 6: Final answer
    x = 11,832.15

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1.5x scale

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.