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Finding the Fourth Proportional to 37,424, 51,645.84 and 20,656.64

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Solution

The fourth proportional to 37,424, 51,645.84 and 20,656.64 is: 28,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,424 : 51,645.84 = 20,656.64 : x
  2. Step 2: Convert to fraction form
    37,424/51,645.84 = 20,656.64/x
  3. Step 3: Cross multiply
    37,424x = 51,645.84 × 20,656.64
  4. Step 4: Simplify right side
    37,424x = 1,066,829,524.38
  5. Step 5: Solve for x
    x = 1,066,829,524.38/37,424
  6. Step 6: Final answer
    x = 28,506.56

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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.