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Finding the Fourth Proportional to 13,812.84, 20,703.21 and 7,893.90

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Solution

The fourth proportional to 13,812.84, 20,703.21 and 7,893.90 is: 11,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.84 : 20,703.21 = 7,893.90 : x
  2. Step 2: Convert to fraction form
    13,812.84/20,703.21 = 7,893.90/x
  3. Step 3: Cross multiply
    13,812.84x = 20,703.21 × 7,893.90
  4. Step 4: Simplify right side
    13,812.84x = 163,429,069.42
  5. Step 5: Solve for x
    x = 163,429,069.42/13,812.84
  6. Step 6: Final answer
    x = 11,831.68

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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.