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Finding the Fourth Proportional to 12,905.10, 19,372.05 and 12,059.10

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Solution

The fourth proportional to 12,905.10, 19,372.05 and 12,059.10 is: 18,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.10 : 19,372.05 = 12,059.10 : x
  2. Step 2: Convert to fraction form
    12,905.10/19,372.05 = 12,059.10/x
  3. Step 3: Cross multiply
    12,905.10x = 19,372.05 × 12,059.10
  4. Step 4: Simplify right side
    12,905.10x = 233,609,488.16
  5. Step 5: Solve for x
    x = 233,609,488.16/12,905.10
  6. Step 6: Final answer
    x = 18,102.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.