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Finding the Fourth Proportional to 19,381, 26,746.10 and 10,549

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Solution

The fourth proportional to 19,381, 26,746.10 and 10,549 is: 14,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381 : 26,746.10 = 10,549 : x
  2. Step 2: Convert to fraction form
    19,381/26,746.10 = 10,549/x
  3. Step 3: Cross multiply
    19,381x = 26,746.10 × 10,549
  4. Step 4: Simplify right side
    19,381x = 282,144,608.90
  5. Step 5: Solve for x
    x = 282,144,608.90/19,381
  6. Step 6: Final answer
    x = 14,557.79

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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.