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Finding the Fourth Proportional to 19,421, 26,800.98 and 10,589

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Solution

The fourth proportional to 19,421, 26,800.98 and 10,589 is: 14,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421 : 26,800.98 = 10,589 : x
  2. Step 2: Convert to fraction form
    19,421/26,800.98 = 10,589/x
  3. Step 3: Cross multiply
    19,421x = 26,800.98 × 10,589
  4. Step 4: Simplify right side
    19,421x = 283,795,577.22
  5. Step 5: Solve for x
    x = 283,795,577.22/19,421
  6. Step 6: Final answer
    x = 14,612.82

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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.