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Finding the Fourth Proportional to 11,812.84, 17,718.82 and 2,928.20

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Solution

The fourth proportional to 11,812.84, 17,718.82 and 2,928.20 is: 4,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.84 : 17,718.82 = 2,928.20 : x
  2. Step 2: Convert to fraction form
    11,812.84/17,718.82 = 2,928.20/x
  3. Step 3: Cross multiply
    11,812.84x = 17,718.82 × 2,928.20
  4. Step 4: Simplify right side
    11,812.84x = 51,884,152.81
  5. Step 5: Solve for x
    x = 51,884,152.81/11,812.84
  6. Step 6: Final answer
    x = 4,392.18

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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.