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Finding the Fourth Proportional to 25,814.40, 38,728.04 and 7,346.40

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Solution

The fourth proportional to 25,814.40, 38,728.04 and 7,346.40 is: 11,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.40 : 38,728.04 = 7,346.40 : x
  2. Step 2: Convert to fraction form
    25,814.40/38,728.04 = 7,346.40/x
  3. Step 3: Cross multiply
    25,814.40x = 38,728.04 × 7,346.40
  4. Step 4: Simplify right side
    25,814.40x = 284,511,673.06
  5. Step 5: Solve for x
    x = 284,511,673.06/25,814.40
  6. Step 6: Final answer
    x = 11,021.43

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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.