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Finding the Fourth Proportional to 30,872.70, 46,309.05 and 10,096.20

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Solution

The fourth proportional to 30,872.70, 46,309.05 and 10,096.20 is: 15,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.70 : 46,309.05 = 10,096.20 : x
  2. Step 2: Convert to fraction form
    30,872.70/46,309.05 = 10,096.20/x
  3. Step 3: Cross multiply
    30,872.70x = 46,309.05 × 10,096.20
  4. Step 4: Simplify right side
    30,872.70x = 467,545,430.61
  5. Step 5: Solve for x
    x = 467,545,430.61/30,872.70
  6. Step 6: Final answer
    x = 15,144.30

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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.