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Finding the Fourth Proportional to 19,090, 28,635.54 and 5,239

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Solution

The fourth proportional to 19,090, 28,635.54 and 5,239 is: 7,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090 : 28,635.54 = 5,239 : x
  2. Step 2: Convert to fraction form
    19,090/28,635.54 = 5,239/x
  3. Step 3: Cross multiply
    19,090x = 28,635.54 × 5,239
  4. Step 4: Simplify right side
    19,090x = 150,021,594.06
  5. Step 5: Solve for x
    x = 150,021,594.06/19,090
  6. Step 6: Final answer
    x = 7,858.65

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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.