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Finding the Fourth Proportional to 13,671, 18,867.78 and 8,295.57

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Solution

The fourth proportional to 13,671, 18,867.78 and 8,295.57 is: 11,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 18,867.78 = 8,295.57 : x
  2. Step 2: Convert to fraction form
    13,671/18,867.78 = 8,295.57/x
  3. Step 3: Cross multiply
    13,671x = 18,867.78 × 8,295.57
  4. Step 4: Simplify right side
    13,671x = 156,518,989.73
  5. Step 5: Solve for x
    x = 156,518,989.73/13,671
  6. Step 6: Final answer
    x = 11,448.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.