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Finding the Fourth Proportional to 30,471.64, 45,707.46 and 10,739.80

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Solution

The fourth proportional to 30,471.64, 45,707.46 and 10,739.80 is: 16,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.64 : 45,707.46 = 10,739.80 : x
  2. Step 2: Convert to fraction form
    30,471.64/45,707.46 = 10,739.80/x
  3. Step 3: Cross multiply
    30,471.64x = 45,707.46 × 10,739.80
  4. Step 4: Simplify right side
    30,471.64x = 490,888,978.91
  5. Step 5: Solve for x
    x = 490,888,978.91/30,471.64
  6. Step 6: Final answer
    x = 16,109.70

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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.