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Finding the Fourth Proportional to 14,269, 21,389.28 and 6,871.36

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Solution

The fourth proportional to 14,269, 21,389.28 and 6,871.36 is: 10,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269 : 21,389.28 = 6,871.36 : x
  2. Step 2: Convert to fraction form
    14,269/21,389.28 = 6,871.36/x
  3. Step 3: Cross multiply
    14,269x = 21,389.28 × 6,871.36
  4. Step 4: Simplify right side
    14,269x = 146,973,443.02
  5. Step 5: Solve for x
    x = 146,973,443.02/14,269
  6. Step 6: Final answer
    x = 10,300.19

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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.