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Finding the Fourth Proportional to 30,429.38, 45,636.71 and 8,241.32

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Solution

The fourth proportional to 30,429.38, 45,636.71 and 8,241.32 is: 12,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.38 : 45,636.71 = 8,241.32 : x
  2. Step 2: Convert to fraction form
    30,429.38/45,636.71 = 8,241.32/x
  3. Step 3: Cross multiply
    30,429.38x = 45,636.71 × 8,241.32
  4. Step 4: Simplify right side
    30,429.38x = 376,106,461.47
  5. Step 5: Solve for x
    x = 376,106,461.47/30,429.38
  6. Step 6: Final answer
    x = 12,359.98

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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.