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Finding the Fourth Proportional to 19,476, 26,881.08 and 12,400.80

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Solution

The fourth proportional to 19,476, 26,881.08 and 12,400.80 is: 17,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 26,881.08 = 12,400.80 : x
  2. Step 2: Convert to fraction form
    19,476/26,881.08 = 12,400.80/x
  3. Step 3: Cross multiply
    19,476x = 26,881.08 × 12,400.80
  4. Step 4: Simplify right side
    19,476x = 333,346,896.86
  5. Step 5: Solve for x
    x = 333,346,896.86/19,476
  6. Step 6: Final answer
    x = 17,115.78

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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.