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Finding the Fourth Proportional to 14,166, 21,240 and 6,772.32

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Solution

The fourth proportional to 14,166, 21,240 and 6,772.32 is: 10,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166 : 21,240 = 6,772.32 : x
  2. Step 2: Convert to fraction form
    14,166/21,240 = 6,772.32/x
  3. Step 3: Cross multiply
    14,166x = 21,240 × 6,772.32
  4. Step 4: Simplify right side
    14,166x = 143,844,076.80
  5. Step 5: Solve for x
    x = 143,844,076.80/14,166
  6. Step 6: Final answer
    x = 10,154.18

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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.