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Finding the Fourth Proportional to 30,824.40, 46,238.65 and 8,638.65

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Solution

The fourth proportional to 30,824.40, 46,238.65 and 8,638.65 is: 12,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.40 : 46,238.65 = 8,638.65 : x
  2. Step 2: Convert to fraction form
    30,824.40/46,238.65 = 8,638.65/x
  3. Step 3: Cross multiply
    30,824.40x = 46,238.65 × 8,638.65
  4. Step 4: Simplify right side
    30,824.40x = 399,439,492.23
  5. Step 5: Solve for x
    x = 399,439,492.23/30,824.40
  6. Step 6: Final answer
    x = 12,958.55

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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.