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Finding the Fourth Proportional to 30,986.20, 46,478.89 and 7,612.84

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Solution

The fourth proportional to 30,986.20, 46,478.89 and 7,612.84 is: 11,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.20 : 46,478.89 = 7,612.84 : x
  2. Step 2: Convert to fraction form
    30,986.20/46,478.89 = 7,612.84/x
  3. Step 3: Cross multiply
    30,986.20x = 46,478.89 × 7,612.84
  4. Step 4: Simplify right side
    30,986.20x = 353,836,082.49
  5. Step 5: Solve for x
    x = 353,836,082.49/30,986.20
  6. Step 6: Final answer
    x = 11,419.15

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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.