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Finding the Fourth Proportional to 19,032, 28,548.36 and 5,181.36

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Solution

The fourth proportional to 19,032, 28,548.36 and 5,181.36 is: 7,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 28,548.36 = 5,181.36 : x
  2. Step 2: Convert to fraction form
    19,032/28,548.36 = 5,181.36/x
  3. Step 3: Cross multiply
    19,032x = 28,548.36 × 5,181.36
  4. Step 4: Simplify right side
    19,032x = 147,919,330.57
  5. Step 5: Solve for x
    x = 147,919,330.57/19,032
  6. Step 6: Final answer
    x = 7,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.