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Finding the Fourth Proportional to 25,607.60, 38,412.60 and 8,078.80

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Solution

The fourth proportional to 25,607.60, 38,412.60 and 8,078.80 is: 12,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.60 : 38,412.60 = 8,078.80 : x
  2. Step 2: Convert to fraction form
    25,607.60/38,412.60 = 8,078.80/x
  3. Step 3: Cross multiply
    25,607.60x = 38,412.60 × 8,078.80
  4. Step 4: Simplify right side
    25,607.60x = 310,327,712.88
  5. Step 5: Solve for x
    x = 310,327,712.88/25,607.60
  6. Step 6: Final answer
    x = 12,118.58

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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.