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Finding the Fourth Proportional to 37,345, 51,536.64 and 20,578

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Solution

The fourth proportional to 37,345, 51,536.64 and 20,578 is: 28,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,345 : 51,536.64 = 20,578 : x
  2. Step 2: Convert to fraction form
    37,345/51,536.64 = 20,578/x
  3. Step 3: Cross multiply
    37,345x = 51,536.64 × 20,578
  4. Step 4: Simplify right side
    37,345x = 1,060,520,977.92
  5. Step 5: Solve for x
    x = 1,060,520,977.92/37,345
  6. Step 6: Final answer
    x = 28,397.94

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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.