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Finding the Fourth Proportional to 15,706.84, 21,674.46 and 8,992.48

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Solution

The fourth proportional to 15,706.84, 21,674.46 and 8,992.48 is: 12,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.84 : 21,674.46 = 8,992.48 : x
  2. Step 2: Convert to fraction form
    15,706.84/21,674.46 = 8,992.48/x
  3. Step 3: Cross multiply
    15,706.84x = 21,674.46 × 8,992.48
  4. Step 4: Simplify right side
    15,706.84x = 194,907,148.06
  5. Step 5: Solve for x
    x = 194,907,148.06/15,706.84
  6. Step 6: Final answer
    x = 12,409.06

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1.5x scale

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.