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Finding the Fourth Proportional to 19,461, 26,856.82 and 10,629

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Solution

The fourth proportional to 19,461, 26,856.82 and 10,629 is: 14,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 26,856.82 = 10,629 : x
  2. Step 2: Convert to fraction form
    19,461/26,856.82 = 10,629/x
  3. Step 3: Cross multiply
    19,461x = 26,856.82 × 10,629
  4. Step 4: Simplify right side
    19,461x = 285,461,139.78
  5. Step 5: Solve for x
    x = 285,461,139.78/19,461
  6. Step 6: Final answer
    x = 14,668.37

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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.