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Finding the Fourth Proportional to 19,955, 27,537.90 and 11,578.52

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Solution

The fourth proportional to 19,955, 27,537.90 and 11,578.52 is: 15,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,955 : 27,537.90 = 11,578.52 : x
  2. Step 2: Convert to fraction form
    19,955/27,537.90 = 11,578.52/x
  3. Step 3: Cross multiply
    19,955x = 27,537.90 × 11,578.52
  4. Step 4: Simplify right side
    19,955x = 318,848,125.91
  5. Step 5: Solve for x
    x = 318,848,125.91/19,955
  6. Step 6: Final answer
    x = 15,978.36

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1.5x scale

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.