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Finding the Fourth Proportional to 30,176.76, 45,259.92 and 7,990.46

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Solution

The fourth proportional to 30,176.76, 45,259.92 and 7,990.46 is: 11,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.76 : 45,259.92 = 7,990.46 : x
  2. Step 2: Convert to fraction form
    30,176.76/45,259.92 = 7,990.46/x
  3. Step 3: Cross multiply
    30,176.76x = 45,259.92 × 7,990.46
  4. Step 4: Simplify right side
    30,176.76x = 361,647,354.06
  5. Step 5: Solve for x
    x = 361,647,354.06/30,176.76
  6. Step 6: Final answer
    x = 11,984.30

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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.