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Finding the Fourth Proportional to 13,378.42, 18,477.72 and 8,894.41

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Solution

The fourth proportional to 13,378.42, 18,477.72 and 8,894.41 is: 12,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.42 : 18,477.72 = 8,894.41 : x
  2. Step 2: Convert to fraction form
    13,378.42/18,477.72 = 8,894.41/x
  3. Step 3: Cross multiply
    13,378.42x = 18,477.72 × 8,894.41
  4. Step 4: Simplify right side
    13,378.42x = 164,348,371.35
  5. Step 5: Solve for x
    x = 164,348,371.35/13,378.42
  6. Step 6: Final answer
    x = 12,284.59

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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.