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Finding the Fourth Proportional to 27,830, 41,675.75 and 19,470.88

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Solution

The fourth proportional to 27,830, 41,675.75 and 19,470.88 is: 29,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830 : 41,675.75 = 19,470.88 : x
  2. Step 2: Convert to fraction form
    27,830/41,675.75 = 19,470.88/x
  3. Step 3: Cross multiply
    27,830x = 41,675.75 × 19,470.88
  4. Step 4: Simplify right side
    27,830x = 811,463,527.16
  5. Step 5: Solve for x
    x = 811,463,527.16/27,830
  6. Step 6: Final answer
    x = 29,157.87

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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.