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Finding the Fourth Proportional to 30,659.91, 45,972.51 and 10,660.20

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Solution

The fourth proportional to 30,659.91, 45,972.51 and 10,660.20 is: 15,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.91 : 45,972.51 = 10,660.20 : x
  2. Step 2: Convert to fraction form
    30,659.91/45,972.51 = 10,660.20/x
  3. Step 3: Cross multiply
    30,659.91x = 45,972.51 × 10,660.20
  4. Step 4: Simplify right side
    30,659.91x = 490,076,151.10
  5. Step 5: Solve for x
    x = 490,076,151.10/30,659.91
  6. Step 6: Final answer
    x = 15,984.27

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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.