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Finding the Fourth Proportional to 18,953.21, 26,160.64 and 10,998

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Solution

The fourth proportional to 18,953.21, 26,160.64 and 10,998 is: 15,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953.21 : 26,160.64 = 10,998 : x
  2. Step 2: Convert to fraction form
    18,953.21/26,160.64 = 10,998/x
  3. Step 3: Cross multiply
    18,953.21x = 26,160.64 × 10,998
  4. Step 4: Simplify right side
    18,953.21x = 287,714,691.23
  5. Step 5: Solve for x
    x = 287,714,691.23/18,953.21
  6. Step 6: Final answer
    x = 15,180.26

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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.