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Finding the Fourth Proportional to 19,006, 28,509.54 and 5,155

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Solution

The fourth proportional to 19,006, 28,509.54 and 5,155 is: 7,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,006 : 28,509.54 = 5,155 : x
  2. Step 2: Convert to fraction form
    19,006/28,509.54 = 5,155/x
  3. Step 3: Cross multiply
    19,006x = 28,509.54 × 5,155
  4. Step 4: Simplify right side
    19,006x = 146,966,678.70
  5. Step 5: Solve for x
    x = 146,966,678.70/19,006
  6. Step 6: Final answer
    x = 7,732.65

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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.