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Finding the Fourth Proportional to 18,590.10, 27,875.92 and 6,743.40

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Solution

The fourth proportional to 18,590.10, 27,875.92 and 6,743.40 is: 10,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.10 : 27,875.92 = 6,743.40 : x
  2. Step 2: Convert to fraction form
    18,590.10/27,875.92 = 6,743.40/x
  3. Step 3: Cross multiply
    18,590.10x = 27,875.92 × 6,743.40
  4. Step 4: Simplify right side
    18,590.10x = 187,978,478.93
  5. Step 5: Solve for x
    x = 187,978,478.93/18,590.10
  6. Step 6: Final answer
    x = 10,111.75

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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.