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Finding the Fourth Proportional to 19,297.24, 26,631.96 and 12,128.32

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Solution

The fourth proportional to 19,297.24, 26,631.96 and 12,128.32 is: 16,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.24 : 26,631.96 = 12,128.32 : x
  2. Step 2: Convert to fraction form
    19,297.24/26,631.96 = 12,128.32/x
  3. Step 3: Cross multiply
    19,297.24x = 26,631.96 × 12,128.32
  4. Step 4: Simplify right side
    19,297.24x = 323,000,933.11
  5. Step 5: Solve for x
    x = 323,000,933.11/19,297.24
  6. Step 6: Final answer
    x = 16,738.19

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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.