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Finding the Fourth Proportional to 13,348.16, 18,427.96 and 8,878

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Solution

The fourth proportional to 13,348.16, 18,427.96 and 8,878 is: 12,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.16 : 18,427.96 = 8,878 : x
  2. Step 2: Convert to fraction form
    13,348.16/18,427.96 = 8,878/x
  3. Step 3: Cross multiply
    13,348.16x = 18,427.96 × 8,878
  4. Step 4: Simplify right side
    13,348.16x = 163,603,428.88
  5. Step 5: Solve for x
    x = 163,603,428.88/13,348.16
  6. Step 6: Final answer
    x = 12,256.63

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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.