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Finding the Fourth Proportional to 38,447.84, 57,671.40 and 12,152.59

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Solution

The fourth proportional to 38,447.84, 57,671.40 and 12,152.59 is: 18,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.84 : 57,671.40 = 12,152.59 : x
  2. Step 2: Convert to fraction form
    38,447.84/57,671.40 = 12,152.59/x
  3. Step 3: Cross multiply
    38,447.84x = 57,671.40 × 12,152.59
  4. Step 4: Simplify right side
    38,447.84x = 700,856,780.32
  5. Step 5: Solve for x
    x = 700,856,780.32/38,447.84
  6. Step 6: Final answer
    x = 18,228.77

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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.