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Finding the Fourth Proportional to 15,706.16, 21,674.42 and 8,991.76

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Solution

The fourth proportional to 15,706.16, 21,674.42 and 8,991.76 is: 12,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.16 : 21,674.42 = 8,991.76 : x
  2. Step 2: Convert to fraction form
    15,706.16/21,674.42 = 8,991.76/x
  3. Step 3: Cross multiply
    15,706.16x = 21,674.42 × 8,991.76
  4. Step 4: Simplify right side
    15,706.16x = 194,891,182.78
  5. Step 5: Solve for x
    x = 194,891,182.78/15,706.16
  6. Step 6: Final answer
    x = 12,408.58

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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.