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Finding the Fourth Proportional to 14,205.76, 21,282.72 and 7,933.12

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Solution

The fourth proportional to 14,205.76, 21,282.72 and 7,933.12 is: 11,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.76 : 21,282.72 = 7,933.12 : x
  2. Step 2: Convert to fraction form
    14,205.76/21,282.72 = 7,933.12/x
  3. Step 3: Cross multiply
    14,205.76x = 21,282.72 × 7,933.12
  4. Step 4: Simplify right side
    14,205.76x = 168,838,371.69
  5. Step 5: Solve for x
    x = 168,838,371.69/14,205.76
  6. Step 6: Final answer
    x = 11,885.21

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1.5x scale

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.