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Finding the Fourth Proportional to 12,681.99, 19,020.56 and 3,916.98

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Solution

The fourth proportional to 12,681.99, 19,020.56 and 3,916.98 is: 5,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.99 : 19,020.56 = 3,916.98 : x
  2. Step 2: Convert to fraction form
    12,681.99/19,020.56 = 3,916.98/x
  3. Step 3: Cross multiply
    12,681.99x = 19,020.56 × 3,916.98
  4. Step 4: Simplify right side
    12,681.99x = 74,503,133.52
  5. Step 5: Solve for x
    x = 74,503,133.52/12,681.99
  6. Step 6: Final answer
    x = 5,874.72

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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.