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Finding the Fourth Proportional to 30,343.97, 45,508.64 and 9,284.19

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Solution

The fourth proportional to 30,343.97, 45,508.64 and 9,284.19 is: 13,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.97 : 45,508.64 = 9,284.19 : x
  2. Step 2: Convert to fraction form
    30,343.97/45,508.64 = 9,284.19/x
  3. Step 3: Cross multiply
    30,343.97x = 45,508.64 × 9,284.19
  4. Step 4: Simplify right side
    30,343.97x = 422,510,813.98
  5. Step 5: Solve for x
    x = 422,510,813.98/30,343.97
  6. Step 6: Final answer
    x = 13,924.05

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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.