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Finding the Fourth Proportional to 19,718.59, 29,544.48 and 11,911

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Solution

The fourth proportional to 19,718.59, 29,544.48 and 11,911 is: 17,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718.59 : 29,544.48 = 11,911 : x
  2. Step 2: Convert to fraction form
    19,718.59/29,544.48 = 11,911/x
  3. Step 3: Cross multiply
    19,718.59x = 29,544.48 × 11,911
  4. Step 4: Simplify right side
    19,718.59x = 351,904,301.28
  5. Step 5: Solve for x
    x = 351,904,301.28/19,718.59
  6. Step 6: Final answer
    x = 17,846.32

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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.