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Finding the Fourth Proportional to 21,409.84, 29,546.16 and 11,978.32

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Solution

The fourth proportional to 21,409.84, 29,546.16 and 11,978.32 is: 16,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.84 : 29,546.16 = 11,978.32 : x
  2. Step 2: Convert to fraction form
    21,409.84/29,546.16 = 11,978.32/x
  3. Step 3: Cross multiply
    21,409.84x = 29,546.16 × 11,978.32
  4. Step 4: Simplify right side
    21,409.84x = 353,913,359.25
  5. Step 5: Solve for x
    x = 353,913,359.25/21,409.84
  6. Step 6: Final answer
    x = 16,530.41

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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.