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Finding the Fourth Proportional to 30,711.40, 46,091.40 and 12,000.40

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Solution

The fourth proportional to 30,711.40, 46,091.40 and 12,000.40 is: 18,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.40 : 46,091.40 = 12,000.40 : x
  2. Step 2: Convert to fraction form
    30,711.40/46,091.40 = 12,000.40/x
  3. Step 3: Cross multiply
    30,711.40x = 46,091.40 × 12,000.40
  4. Step 4: Simplify right side
    30,711.40x = 553,115,236.56
  5. Step 5: Solve for x
    x = 553,115,236.56/30,711.40
  6. Step 6: Final answer
    x = 18,010.10

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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.