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Finding the Fourth Proportional to 2,007.72, 3,010.68 and 708.84

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Solution

The fourth proportional to 2,007.72, 3,010.68 and 708.84 is: 1,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.72 : 3,010.68 = 708.84 : x
  2. Step 2: Convert to fraction form
    2,007.72/3,010.68 = 708.84/x
  3. Step 3: Cross multiply
    2,007.72x = 3,010.68 × 708.84
  4. Step 4: Simplify right side
    2,007.72x = 2,134,090.41
  5. Step 5: Solve for x
    x = 2,134,090.41/2,007.72
  6. Step 6: Final answer
    x = 1,062.94

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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.