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Finding the Fourth Proportional to 17,854, 26,781 and 12,926.08

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Solution

The fourth proportional to 17,854, 26,781 and 12,926.08 is: 19,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854 : 26,781 = 12,926.08 : x
  2. Step 2: Convert to fraction form
    17,854/26,781 = 12,926.08/x
  3. Step 3: Cross multiply
    17,854x = 26,781 × 12,926.08
  4. Step 4: Simplify right side
    17,854x = 346,173,348.48
  5. Step 5: Solve for x
    x = 346,173,348.48/17,854
  6. Step 6: Final answer
    x = 19,389.12

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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.