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Finding the Fourth Proportional to 30,164.55, 45,244.80 and 7,977.44

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Solution

The fourth proportional to 30,164.55, 45,244.80 and 7,977.44 is: 11,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.55 : 45,244.80 = 7,977.44 : x
  2. Step 2: Convert to fraction form
    30,164.55/45,244.80 = 7,977.44/x
  3. Step 3: Cross multiply
    30,164.55x = 45,244.80 × 7,977.44
  4. Step 4: Simplify right side
    30,164.55x = 360,937,451.09
  5. Step 5: Solve for x
    x = 360,937,451.09/30,164.55
  6. Step 6: Final answer
    x = 11,965.62

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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.