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Finding the Fourth Proportional to 27,708, 38,232.72 and 15,771.84

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Solution

The fourth proportional to 27,708, 38,232.72 and 15,771.84 is: 21,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708 : 38,232.72 = 15,771.84 : x
  2. Step 2: Convert to fraction form
    27,708/38,232.72 = 15,771.84/x
  3. Step 3: Cross multiply
    27,708x = 38,232.72 × 15,771.84
  4. Step 4: Simplify right side
    27,708x = 603,000,342.60
  5. Step 5: Solve for x
    x = 603,000,342.60/27,708
  6. Step 6: Final answer
    x = 21,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.