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Finding the Fourth Proportional to 19,980, 27,372.24 and 19,232.16

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Solution

The fourth proportional to 19,980, 27,372.24 and 19,232.16 is: 26,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 27,372.24 = 19,232.16 : x
  2. Step 2: Convert to fraction form
    19,980/27,372.24 = 19,232.16/x
  3. Step 3: Cross multiply
    19,980x = 27,372.24 × 19,232.16
  4. Step 4: Simplify right side
    19,980x = 526,427,299.24
  5. Step 5: Solve for x
    x = 526,427,299.24/19,980
  6. Step 6: Final answer
    x = 26,347.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.