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Finding the Fourth Proportional to 19,689.76, 27,172.52 and 10,738

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Solution

The fourth proportional to 19,689.76, 27,172.52 and 10,738 is: 14,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.76 : 27,172.52 = 10,738 : x
  2. Step 2: Convert to fraction form
    19,689.76/27,172.52 = 10,738/x
  3. Step 3: Cross multiply
    19,689.76x = 27,172.52 × 10,738
  4. Step 4: Simplify right side
    19,689.76x = 291,778,519.76
  5. Step 5: Solve for x
    x = 291,778,519.76/19,689.76
  6. Step 6: Final answer
    x = 14,818.80

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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.