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Finding the Fourth Proportional to 12,681.58, 19,022.58 and 3,916.51

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Solution

The fourth proportional to 12,681.58, 19,022.58 and 3,916.51 is: 5,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.58 : 19,022.58 = 3,916.51 : x
  2. Step 2: Convert to fraction form
    12,681.58/19,022.58 = 3,916.51/x
  3. Step 3: Cross multiply
    12,681.58x = 19,022.58 × 3,916.51
  4. Step 4: Simplify right side
    12,681.58x = 74,502,124.80
  5. Step 5: Solve for x
    x = 74,502,124.80/12,681.58
  6. Step 6: Final answer
    x = 5,874.83

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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.