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Finding the Fourth Proportional to 25,862.80, 38,794.20 and 20,023.60

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Solution

The fourth proportional to 25,862.80, 38,794.20 and 20,023.60 is: 30,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.80 : 38,794.20 = 20,023.60 : x
  2. Step 2: Convert to fraction form
    25,862.80/38,794.20 = 20,023.60/x
  3. Step 3: Cross multiply
    25,862.80x = 38,794.20 × 20,023.60
  4. Step 4: Simplify right side
    25,862.80x = 776,799,543.12
  5. Step 5: Solve for x
    x = 776,799,543.12/25,862.80
  6. Step 6: Final answer
    x = 30,035.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.