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Finding the Fourth Proportional to 3,016.77, 4,524.36 and 824.99

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Solution

The fourth proportional to 3,016.77, 4,524.36 and 824.99 is: 1,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.77 : 4,524.36 = 824.99 : x
  2. Step 2: Convert to fraction form
    3,016.77/4,524.36 = 824.99/x
  3. Step 3: Cross multiply
    3,016.77x = 4,524.36 × 824.99
  4. Step 4: Simplify right side
    3,016.77x = 3,732,526.04
  5. Step 5: Solve for x
    x = 3,732,526.04/3,016.77
  6. Step 6: Final answer
    x = 1,237.26

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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.