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Finding the Fourth Proportional to 19,239, 28,858.47 and 6,092.40

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Solution

The fourth proportional to 19,239, 28,858.47 and 6,092.40 is: 9,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,239 : 28,858.47 = 6,092.40 : x
  2. Step 2: Convert to fraction form
    19,239/28,858.47 = 6,092.40/x
  3. Step 3: Cross multiply
    19,239x = 28,858.47 × 6,092.40
  4. Step 4: Simplify right side
    19,239x = 175,817,342.63
  5. Step 5: Solve for x
    x = 175,817,342.63/19,239
  6. Step 6: Final answer
    x = 9,138.59

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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.