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Finding the Fourth Proportional to 13,267, 19,885.74 and 6,699.16

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Solution

The fourth proportional to 13,267, 19,885.74 and 6,699.16 is: 10,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267 : 19,885.74 = 6,699.16 : x
  2. Step 2: Convert to fraction form
    13,267/19,885.74 = 6,699.16/x
  3. Step 3: Cross multiply
    13,267x = 19,885.74 × 6,699.16
  4. Step 4: Simplify right side
    13,267x = 133,217,753.98
  5. Step 5: Solve for x
    x = 133,217,753.98/13,267
  6. Step 6: Final answer
    x = 10,041.29

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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.