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Finding the Fourth Proportional to 39,830.40, 59,648.40 and 38,080.80

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Solution

The fourth proportional to 39,830.40, 59,648.40 and 38,080.80 is: 57,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.40 : 59,648.40 = 38,080.80 : x
  2. Step 2: Convert to fraction form
    39,830.40/59,648.40 = 38,080.80/x
  3. Step 3: Cross multiply
    39,830.40x = 59,648.40 × 38,080.80
  4. Step 4: Simplify right side
    39,830.40x = 2,271,458,790.72
  5. Step 5: Solve for x
    x = 2,271,458,790.72/39,830.40
  6. Step 6: Final answer
    x = 57,028.27

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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.