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Finding the Fourth Proportional to 37,074, 51,162.30 and 20,307

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Solution

The fourth proportional to 37,074, 51,162.30 and 20,307 is: 28,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074 : 51,162.30 = 20,307 : x
  2. Step 2: Convert to fraction form
    37,074/51,162.30 = 20,307/x
  3. Step 3: Cross multiply
    37,074x = 51,162.30 × 20,307
  4. Step 4: Simplify right side
    37,074x = 1,038,952,826.10
  5. Step 5: Solve for x
    x = 1,038,952,826.10/37,074
  6. Step 6: Final answer
    x = 28,023.76

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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.