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Finding the Fourth Proportional to 25,883.60, 38,830.80 and 8,355.20

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Solution

The fourth proportional to 25,883.60, 38,830.80 and 8,355.20 is: 12,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.60 : 38,830.80 = 8,355.20 : x
  2. Step 2: Convert to fraction form
    25,883.60/38,830.80 = 8,355.20/x
  3. Step 3: Cross multiply
    25,883.60x = 38,830.80 × 8,355.20
  4. Step 4: Simplify right side
    25,883.60x = 324,439,100.16
  5. Step 5: Solve for x
    x = 324,439,100.16/25,883.60
  6. Step 6: Final answer
    x = 12,534.54

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1.5x scale

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.