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Finding the Fourth Proportional to 21,874.94, 30,184.68 and 12,313.64

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Solution

The fourth proportional to 21,874.94, 30,184.68 and 12,313.64 is: 16,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.94 : 30,184.68 = 12,313.64 : x
  2. Step 2: Convert to fraction form
    21,874.94/30,184.68 = 12,313.64/x
  3. Step 3: Cross multiply
    21,874.94x = 30,184.68 × 12,313.64
  4. Step 4: Simplify right side
    21,874.94x = 371,683,283.04
  5. Step 5: Solve for x
    x = 371,683,283.04/21,874.94
  6. Step 6: Final answer
    x = 16,991.28

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1.5x scale

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.