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Finding the Fourth Proportional to 21,109, 29,133.18 and 12,156.88

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Solution

The fourth proportional to 21,109, 29,133.18 and 12,156.88 is: 16,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109 : 29,133.18 = 12,156.88 : x
  2. Step 2: Convert to fraction form
    21,109/29,133.18 = 12,156.88/x
  3. Step 3: Cross multiply
    21,109x = 29,133.18 × 12,156.88
  4. Step 4: Simplify right side
    21,109x = 354,168,573.28
  5. Step 5: Solve for x
    x = 354,168,573.28/21,109
  6. Step 6: Final answer
    x = 16,778.08

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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.