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Finding the Fourth Proportional to 19,371, 26,719.50 and 11,919.48

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Solution

The fourth proportional to 19,371, 26,719.50 and 11,919.48 is: 16,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371 : 26,719.50 = 11,919.48 : x
  2. Step 2: Convert to fraction form
    19,371/26,719.50 = 11,919.48/x
  3. Step 3: Cross multiply
    19,371x = 26,719.50 × 11,919.48
  4. Step 4: Simplify right side
    19,371x = 318,482,545.86
  5. Step 5: Solve for x
    x = 318,482,545.86/19,371
  6. Step 6: Final answer
    x = 16,441.20

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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.