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Finding the Fourth Proportional to 15,283.20, 21,044 and 11,512

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Solution

The fourth proportional to 15,283.20, 21,044 and 11,512 is: 15,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.20 : 21,044 = 11,512 : x
  2. Step 2: Convert to fraction form
    15,283.20/21,044 = 11,512/x
  3. Step 3: Cross multiply
    15,283.20x = 21,044 × 11,512
  4. Step 4: Simplify right side
    15,283.20x = 242,258,528
  5. Step 5: Solve for x
    x = 242,258,528/15,283.20
  6. Step 6: Final answer
    x = 15,851.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.