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Finding the Fourth Proportional to 30,170.55, 45,253.80 and 7,983.45

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Solution

The fourth proportional to 30,170.55, 45,253.80 and 7,983.45 is: 11,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170.55 : 45,253.80 = 7,983.45 : x
  2. Step 2: Convert to fraction form
    30,170.55/45,253.80 = 7,983.45/x
  3. Step 3: Cross multiply
    30,170.55x = 45,253.80 × 7,983.45
  4. Step 4: Simplify right side
    30,170.55x = 361,281,449.61
  5. Step 5: Solve for x
    x = 361,281,449.61/30,170.55
  6. Step 6: Final answer
    x = 11,974.64

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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.