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Finding the Fourth Proportional to 19,038, 28,557 and 5,187

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Solution

The fourth proportional to 19,038, 28,557 and 5,187 is: 7,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,038 : 28,557 = 5,187 : x
  2. Step 2: Convert to fraction form
    19,038/28,557 = 5,187/x
  3. Step 3: Cross multiply
    19,038x = 28,557 × 5,187
  4. Step 4: Simplify right side
    19,038x = 148,125,159
  5. Step 5: Solve for x
    x = 148,125,159/19,038
  6. Step 6: Final answer
    x = 7,780.50

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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.