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Finding the Fourth Proportional to 30,428.32, 45,645.44 and 11,956

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Solution

The fourth proportional to 30,428.32, 45,645.44 and 11,956 is: 17,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.32 : 45,645.44 = 11,956 : x
  2. Step 2: Convert to fraction form
    30,428.32/45,645.44 = 11,956/x
  3. Step 3: Cross multiply
    30,428.32x = 45,645.44 × 11,956
  4. Step 4: Simplify right side
    30,428.32x = 545,736,880.64
  5. Step 5: Solve for x
    x = 545,736,880.64/30,428.32
  6. Step 6: Final answer
    x = 17,935.16

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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.