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Finding the Fourth Proportional to 15,707.57, 21,676.89 and 8,993.88

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Solution

The fourth proportional to 15,707.57, 21,676.89 and 8,993.88 is: 12,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.57 : 21,676.89 = 8,993.88 : x
  2. Step 2: Convert to fraction form
    15,707.57/21,676.89 = 8,993.88/x
  3. Step 3: Cross multiply
    15,707.57x = 21,676.89 × 8,993.88
  4. Step 4: Simplify right side
    15,707.57x = 194,959,347.43
  5. Step 5: Solve for x
    x = 194,959,347.43/15,707.57
  6. Step 6: Final answer
    x = 12,411.81

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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.