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Finding the Fourth Proportional to 38,128, 57,200.64 and 13,504

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Solution

The fourth proportional to 38,128, 57,200.64 and 13,504 is: 20,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128 : 57,200.64 = 13,504 : x
  2. Step 2: Convert to fraction form
    38,128/57,200.64 = 13,504/x
  3. Step 3: Cross multiply
    38,128x = 57,200.64 × 13,504
  4. Step 4: Simplify right side
    38,128x = 772,437,442.56
  5. Step 5: Solve for x
    x = 772,437,442.56/38,128
  6. Step 6: Final answer
    x = 20,259.06

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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.