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Finding the Fourth Proportional to 21,293.84, 31,946.52 and 8,146.64

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Solution

The fourth proportional to 21,293.84, 31,946.52 and 8,146.64 is: 12,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.84 : 31,946.52 = 8,146.64 : x
  2. Step 2: Convert to fraction form
    21,293.84/31,946.52 = 8,146.64/x
  3. Step 3: Cross multiply
    21,293.84x = 31,946.52 × 8,146.64
  4. Step 4: Simplify right side
    21,293.84x = 260,256,797.69
  5. Step 5: Solve for x
    x = 260,256,797.69/21,293.84
  6. Step 6: Final answer
    x = 12,222.16

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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.