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Finding the Fourth Proportional to 13,914.16, 20,866.92 and 4,678

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Solution

The fourth proportional to 13,914.16, 20,866.92 and 4,678 is: 7,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.16 : 20,866.92 = 4,678 : x
  2. Step 2: Convert to fraction form
    13,914.16/20,866.92 = 4,678/x
  3. Step 3: Cross multiply
    13,914.16x = 20,866.92 × 4,678
  4. Step 4: Simplify right side
    13,914.16x = 97,615,451.76
  5. Step 5: Solve for x
    x = 97,615,451.76/13,914.16
  6. Step 6: Final answer
    x = 7,015.55

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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.