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Finding the Fourth Proportional to 19,275, 26,599.50 and 10,443

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Solution

The fourth proportional to 19,275, 26,599.50 and 10,443 is: 14,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,275 : 26,599.50 = 10,443 : x
  2. Step 2: Convert to fraction form
    19,275/26,599.50 = 10,443/x
  3. Step 3: Cross multiply
    19,275x = 26,599.50 × 10,443
  4. Step 4: Simplify right side
    19,275x = 277,778,578.50
  5. Step 5: Solve for x
    x = 277,778,578.50/19,275
  6. Step 6: Final answer
    x = 14,411.34

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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.