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Finding the Fourth Proportional to 19,316, 28,966.44 and 8,227.76

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Solution

The fourth proportional to 19,316, 28,966.44 and 8,227.76 is: 12,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316 : 28,966.44 = 8,227.76 : x
  2. Step 2: Convert to fraction form
    19,316/28,966.44 = 8,227.76/x
  3. Step 3: Cross multiply
    19,316x = 28,966.44 × 8,227.76
  4. Step 4: Simplify right side
    19,316x = 238,328,916.37
  5. Step 5: Solve for x
    x = 238,328,916.37/19,316
  6. Step 6: Final answer
    x = 12,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.