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Finding the Fourth Proportional to 21,052.81, 29,052.88 and 12,102.06

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Solution

The fourth proportional to 21,052.81, 29,052.88 and 12,102.06 is: 16,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.81 : 29,052.88 = 12,102.06 : x
  2. Step 2: Convert to fraction form
    21,052.81/29,052.88 = 12,102.06/x
  3. Step 3: Cross multiply
    21,052.81x = 29,052.88 × 12,102.06
  4. Step 4: Simplify right side
    21,052.81x = 351,599,612.20
  5. Step 5: Solve for x
    x = 351,599,612.20/21,052.81
  6. Step 6: Final answer
    x = 16,700.84

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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.