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Finding the Fourth Proportional to 19,406, 26,780.28 and 10,574

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Solution

The fourth proportional to 19,406, 26,780.28 and 10,574 is: 14,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 26,780.28 = 10,574 : x
  2. Step 2: Convert to fraction form
    19,406/26,780.28 = 10,574/x
  3. Step 3: Cross multiply
    19,406x = 26,780.28 × 10,574
  4. Step 4: Simplify right side
    19,406x = 283,174,680.72
  5. Step 5: Solve for x
    x = 283,174,680.72/19,406
  6. Step 6: Final answer
    x = 14,592.12

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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.