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Finding the Fourth Proportional to 11,520.84, 15,888.96 and 9,282

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Solution

The fourth proportional to 11,520.84, 15,888.96 and 9,282 is: 12,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.84 : 15,888.96 = 9,282 : x
  2. Step 2: Convert to fraction form
    11,520.84/15,888.96 = 9,282/x
  3. Step 3: Cross multiply
    11,520.84x = 15,888.96 × 9,282
  4. Step 4: Simplify right side
    11,520.84x = 147,481,326.72
  5. Step 5: Solve for x
    x = 147,481,326.72/11,520.84
  6. Step 6: Final answer
    x = 12,801.27

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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.