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Finding the Fourth Proportional to 30,741.84, 46,103.24 and 20,211.28

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Solution

The fourth proportional to 30,741.84, 46,103.24 and 20,211.28 is: 30,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.84 : 46,103.24 = 20,211.28 : x
  2. Step 2: Convert to fraction form
    30,741.84/46,103.24 = 20,211.28/x
  3. Step 3: Cross multiply
    30,741.84x = 46,103.24 × 20,211.28
  4. Step 4: Simplify right side
    30,741.84x = 931,805,492.55
  5. Step 5: Solve for x
    x = 931,805,492.55/30,741.84
  6. Step 6: Final answer
    x = 30,310.66

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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.