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Finding the Fourth Proportional to 27,043.60, 40,565.40 and 8,575.60

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Solution

The fourth proportional to 27,043.60, 40,565.40 and 8,575.60 is: 12,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,043.60 : 40,565.40 = 8,575.60 : x
  2. Step 2: Convert to fraction form
    27,043.60/40,565.40 = 8,575.60/x
  3. Step 3: Cross multiply
    27,043.60x = 40,565.40 × 8,575.60
  4. Step 4: Simplify right side
    27,043.60x = 347,872,644.24
  5. Step 5: Solve for x
    x = 347,872,644.24/27,043.60
  6. Step 6: Final answer
    x = 12,863.40

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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.