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Finding the Fourth Proportional to 21,969.64, 30,315.18 and 12,409.48

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Solution

The fourth proportional to 21,969.64, 30,315.18 and 12,409.48 is: 17,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.64 : 30,315.18 = 12,409.48 : x
  2. Step 2: Convert to fraction form
    21,969.64/30,315.18 = 12,409.48/x
  3. Step 3: Cross multiply
    21,969.64x = 30,315.18 × 12,409.48
  4. Step 4: Simplify right side
    21,969.64x = 376,195,619.91
  5. Step 5: Solve for x
    x = 376,195,619.91/21,969.64
  6. Step 6: Final answer
    x = 17,123.43

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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.