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Finding the Fourth Proportional to 30,107.40, 45,162.31 and 7,923.02

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Solution

The fourth proportional to 30,107.40, 45,162.31 and 7,923.02 is: 11,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.40 : 45,162.31 = 7,923.02 : x
  2. Step 2: Convert to fraction form
    30,107.40/45,162.31 = 7,923.02/x
  3. Step 3: Cross multiply
    30,107.40x = 45,162.31 × 7,923.02
  4. Step 4: Simplify right side
    30,107.40x = 357,821,654.61
  5. Step 5: Solve for x
    x = 357,821,654.61/30,107.40
  6. Step 6: Final answer
    x = 11,884.84

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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.