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Finding the Fourth Proportional to 13,802.85, 20,703.86 and 3,942.15

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Solution

The fourth proportional to 13,802.85, 20,703.86 and 3,942.15 is: 5,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.85 : 20,703.86 = 3,942.15 : x
  2. Step 2: Convert to fraction form
    13,802.85/20,703.86 = 3,942.15/x
  3. Step 3: Cross multiply
    13,802.85x = 20,703.86 × 3,942.15
  4. Step 4: Simplify right side
    13,802.85x = 81,617,716.77
  5. Step 5: Solve for x
    x = 81,617,716.77/13,802.85
  6. Step 6: Final answer
    x = 5,913.10

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1.5x scale

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.