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Finding the Fourth Proportional to 38,491.20, 53,071.20 and 29,548.80

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Solution

The fourth proportional to 38,491.20, 53,071.20 and 29,548.80 is: 40,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.20 : 53,071.20 = 29,548.80 : x
  2. Step 2: Convert to fraction form
    38,491.20/53,071.20 = 29,548.80/x
  3. Step 3: Cross multiply
    38,491.20x = 53,071.20 × 29,548.80
  4. Step 4: Simplify right side
    38,491.20x = 1,568,190,274.56
  5. Step 5: Solve for x
    x = 1,568,190,274.56/38,491.20
  6. Step 6: Final answer
    x = 40,741.53

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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.