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Finding the Fourth Proportional to 19,471, 26,869.98 and 10,639

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Solution

The fourth proportional to 19,471, 26,869.98 and 10,639 is: 14,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471 : 26,869.98 = 10,639 : x
  2. Step 2: Convert to fraction form
    19,471/26,869.98 = 10,639/x
  3. Step 3: Cross multiply
    19,471x = 26,869.98 × 10,639
  4. Step 4: Simplify right side
    19,471x = 285,869,717.22
  5. Step 5: Solve for x
    x = 285,869,717.22/19,471
  6. Step 6: Final answer
    x = 14,681.82

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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.