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Finding the Fourth Proportional to 35,537, 49,042.64 and 20,434.56

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Solution

The fourth proportional to 35,537, 49,042.64 and 20,434.56 is: 28,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,537 : 49,042.64 = 20,434.56 : x
  2. Step 2: Convert to fraction form
    35,537/49,042.64 = 20,434.56/x
  3. Step 3: Cross multiply
    35,537x = 49,042.64 × 20,434.56
  4. Step 4: Simplify right side
    35,537x = 1,002,164,769.64
  5. Step 5: Solve for x
    x = 1,002,164,769.64/35,537
  6. Step 6: Final answer
    x = 28,200.60

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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.