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Finding the Fourth Proportional to 21,157.43, 31,737.74 and 7,117.49

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Solution

The fourth proportional to 21,157.43, 31,737.74 and 7,117.49 is: 10,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.43 : 31,737.74 = 7,117.49 : x
  2. Step 2: Convert to fraction form
    21,157.43/31,737.74 = 7,117.49/x
  3. Step 3: Cross multiply
    21,157.43x = 31,737.74 × 7,117.49
  4. Step 4: Simplify right side
    21,157.43x = 225,893,090.83
  5. Step 5: Solve for x
    x = 225,893,090.83/21,157.43
  6. Step 6: Final answer
    x = 10,676.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.