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Finding the Fourth Proportional to 4,072, 5,624.68 and 3,011.92

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Solution

The fourth proportional to 4,072, 5,624.68 and 3,011.92 is: 4,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 5,624.68 = 3,011.92 : x
  2. Step 2: Convert to fraction form
    4,072/5,624.68 = 3,011.92/x
  3. Step 3: Cross multiply
    4,072x = 5,624.68 × 3,011.92
  4. Step 4: Simplify right side
    4,072x = 16,941,086.19
  5. Step 5: Solve for x
    x = 16,941,086.19/4,072
  6. Step 6: Final answer
    x = 4,160.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.