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Finding the Fourth Proportional to 2,007.60, 3,010.19 and 709.17

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Solution

The fourth proportional to 2,007.60, 3,010.19 and 709.17 is: 1,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.60 : 3,010.19 = 709.17 : x
  2. Step 2: Convert to fraction form
    2,007.60/3,010.19 = 709.17/x
  3. Step 3: Cross multiply
    2,007.60x = 3,010.19 × 709.17
  4. Step 4: Simplify right side
    2,007.60x = 2,134,732.90
  5. Step 5: Solve for x
    x = 2,134,732.90/2,007.60
  6. Step 6: Final answer
    x = 1,063.33

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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.