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Finding the Fourth Proportional to 14,449.12, 19,939.68 and 7,825.12

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Solution

The fourth proportional to 14,449.12, 19,939.68 and 7,825.12 is: 10,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.12 : 19,939.68 = 7,825.12 : x
  2. Step 2: Convert to fraction form
    14,449.12/19,939.68 = 7,825.12/x
  3. Step 3: Cross multiply
    14,449.12x = 19,939.68 × 7,825.12
  4. Step 4: Simplify right side
    14,449.12x = 156,030,388.76
  5. Step 5: Solve for x
    x = 156,030,388.76/14,449.12
  6. Step 6: Final answer
    x = 10,798.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.