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Finding the Fourth Proportional to 13,246, 19,869.36 and 4,012

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Solution

The fourth proportional to 13,246, 19,869.36 and 4,012 is: 6,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 19,869.36 = 4,012 : x
  2. Step 2: Convert to fraction form
    13,246/19,869.36 = 4,012/x
  3. Step 3: Cross multiply
    13,246x = 19,869.36 × 4,012
  4. Step 4: Simplify right side
    13,246x = 79,715,872.32
  5. Step 5: Solve for x
    x = 79,715,872.32/13,246
  6. Step 6: Final answer
    x = 6,018.11

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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.