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Finding the Fourth Proportional to 21,219, 31,828.56 and 7,368

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Solution

The fourth proportional to 21,219, 31,828.56 and 7,368 is: 11,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219 : 31,828.56 = 7,368 : x
  2. Step 2: Convert to fraction form
    21,219/31,828.56 = 7,368/x
  3. Step 3: Cross multiply
    21,219x = 31,828.56 × 7,368
  4. Step 4: Simplify right side
    21,219x = 234,512,830.08
  5. Step 5: Solve for x
    x = 234,512,830.08/21,219
  6. Step 6: Final answer
    x = 11,052.02

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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.