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Finding the Fourth Proportional to 15,254.82, 21,052.71 and 8,541

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Solution

The fourth proportional to 15,254.82, 21,052.71 and 8,541 is: 11,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,254.82 : 21,052.71 = 8,541 : x
  2. Step 2: Convert to fraction form
    15,254.82/21,052.71 = 8,541/x
  3. Step 3: Cross multiply
    15,254.82x = 21,052.71 × 8,541
  4. Step 4: Simplify right side
    15,254.82x = 179,811,196.11
  5. Step 5: Solve for x
    x = 179,811,196.11/15,254.82
  6. Step 6: Final answer
    x = 11,787.17

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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.