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Finding the Fourth Proportional to 19,846, 29,760.08 and 14,276

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Solution

The fourth proportional to 19,846, 29,760.08 and 14,276 is: 21,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846 : 29,760.08 = 14,276 : x
  2. Step 2: Convert to fraction form
    19,846/29,760.08 = 14,276/x
  3. Step 3: Cross multiply
    19,846x = 29,760.08 × 14,276
  4. Step 4: Simplify right side
    19,846x = 424,854,902.08
  5. Step 5: Solve for x
    x = 424,854,902.08/19,846
  6. Step 6: Final answer
    x = 21,407.58

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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.