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Finding the Fourth Proportional to 12,683.71, 19,026.51 and 3,918.57

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Solution

The fourth proportional to 12,683.71, 19,026.51 and 3,918.57 is: 5,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.71 : 19,026.51 = 3,918.57 : x
  2. Step 2: Convert to fraction form
    12,683.71/19,026.51 = 3,918.57/x
  3. Step 3: Cross multiply
    12,683.71x = 19,026.51 × 3,918.57
  4. Step 4: Simplify right side
    12,683.71x = 74,556,711.29
  5. Step 5: Solve for x
    x = 74,556,711.29/12,683.71
  6. Step 6: Final answer
    x = 5,878.15

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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.