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Finding the Fourth Proportional to 19,521, 26,938.98 and 10,689

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Solution

The fourth proportional to 19,521, 26,938.98 and 10,689 is: 14,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 26,938.98 = 10,689 : x
  2. Step 2: Convert to fraction form
    19,521/26,938.98 = 10,689/x
  3. Step 3: Cross multiply
    19,521x = 26,938.98 × 10,689
  4. Step 4: Simplify right side
    19,521x = 287,950,757.22
  5. Step 5: Solve for x
    x = 287,950,757.22/19,521
  6. Step 6: Final answer
    x = 14,750.82

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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.