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Finding the Fourth Proportional to 47,619, 65,714.22 and 27,750.84

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Solution

The fourth proportional to 47,619, 65,714.22 and 27,750.84 is: 38,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,619 : 65,714.22 = 27,750.84 : x
  2. Step 2: Convert to fraction form
    47,619/65,714.22 = 27,750.84/x
  3. Step 3: Cross multiply
    47,619x = 65,714.22 × 27,750.84
  4. Step 4: Simplify right side
    47,619x = 1,823,624,804.94
  5. Step 5: Solve for x
    x = 1,823,624,804.94/47,619
  6. Step 6: Final answer
    x = 38,296.16

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1.5x scale

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.