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Finding the Fourth Proportional to 14,156, 21,226.80 and 5,265.12

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Solution

The fourth proportional to 14,156, 21,226.80 and 5,265.12 is: 7,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156 : 21,226.80 = 5,265.12 : x
  2. Step 2: Convert to fraction form
    14,156/21,226.80 = 5,265.12/x
  3. Step 3: Cross multiply
    14,156x = 21,226.80 × 5,265.12
  4. Step 4: Simplify right side
    14,156x = 111,761,649.22
  5. Step 5: Solve for x
    x = 111,761,649.22/14,156
  6. Step 6: Final answer
    x = 7,895.00

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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.