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Finding the Fourth Proportional to 35,685.92, 49,245.48 and 20,578.64

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Solution

The fourth proportional to 35,685.92, 49,245.48 and 20,578.64 is: 28,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.92 : 49,245.48 = 20,578.64 : x
  2. Step 2: Convert to fraction form
    35,685.92/49,245.48 = 20,578.64/x
  3. Step 3: Cross multiply
    35,685.92x = 49,245.48 × 20,578.64
  4. Step 4: Simplify right side
    35,685.92x = 1,013,405,004.55
  5. Step 5: Solve for x
    x = 1,013,405,004.55/35,685.92
  6. Step 6: Final answer
    x = 28,397.89

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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.