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Finding the Fourth Proportional to 37,028, 51,098.64 and 20,261

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Solution

The fourth proportional to 37,028, 51,098.64 and 20,261 is: 27,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028 : 51,098.64 = 20,261 : x
  2. Step 2: Convert to fraction form
    37,028/51,098.64 = 20,261/x
  3. Step 3: Cross multiply
    37,028x = 51,098.64 × 20,261
  4. Step 4: Simplify right side
    37,028x = 1,035,309,545.04
  5. Step 5: Solve for x
    x = 1,035,309,545.04/37,028
  6. Step 6: Final answer
    x = 27,960.18

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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.