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Finding the Fourth Proportional to 30,612, 45,934.34 and 13,077.80

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Solution

The fourth proportional to 30,612, 45,934.34 and 13,077.80 is: 19,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612 : 45,934.34 = 13,077.80 : x
  2. Step 2: Convert to fraction form
    30,612/45,934.34 = 13,077.80/x
  3. Step 3: Cross multiply
    30,612x = 45,934.34 × 13,077.80
  4. Step 4: Simplify right side
    30,612x = 600,719,816.59
  5. Step 5: Solve for x
    x = 600,719,816.59/30,612
  6. Step 6: Final answer
    x = 19,623.67

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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.