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Finding the Fourth Proportional to 15,706.76, 21,676.37 and 8,993.30

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Solution

The fourth proportional to 15,706.76, 21,676.37 and 8,993.30 is: 12,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.76 : 21,676.37 = 8,993.30 : x
  2. Step 2: Convert to fraction form
    15,706.76/21,676.37 = 8,993.30/x
  3. Step 3: Cross multiply
    15,706.76x = 21,676.37 × 8,993.30
  4. Step 4: Simplify right side
    15,706.76x = 194,941,944.97
  5. Step 5: Solve for x
    x = 194,941,944.97/15,706.76
  6. Step 6: Final answer
    x = 12,411.34

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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.