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Finding the Fourth Proportional to 13,938.60, 20,908.08 and 4,078.08

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Solution

The fourth proportional to 13,938.60, 20,908.08 and 4,078.08 is: 6,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.60 : 20,908.08 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    13,938.60/20,908.08 = 4,078.08/x
  3. Step 3: Cross multiply
    13,938.60x = 20,908.08 × 4,078.08
  4. Step 4: Simplify right side
    13,938.60x = 85,264,822.89
  5. Step 5: Solve for x
    x = 85,264,822.89/13,938.60
  6. Step 6: Final answer
    x = 6,117.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.