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Finding the Fourth Proportional to 2,015.07, 3,020.78 and 716.24

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Solution

The fourth proportional to 2,015.07, 3,020.78 and 716.24 is: 1,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.07 : 3,020.78 = 716.24 : x
  2. Step 2: Convert to fraction form
    2,015.07/3,020.78 = 716.24/x
  3. Step 3: Cross multiply
    2,015.07x = 3,020.78 × 716.24
  4. Step 4: Simplify right side
    2,015.07x = 2,163,588.36
  5. Step 5: Solve for x
    x = 2,163,588.36/2,015.07
  6. Step 6: Final answer
    x = 1,073.70

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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.