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Finding the Fourth Proportional to 1,869.30, 2,803.86 and 829.02

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Solution

The fourth proportional to 1,869.30, 2,803.86 and 829.02 is: 1,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.30 : 2,803.86 = 829.02 : x
  2. Step 2: Convert to fraction form
    1,869.30/2,803.86 = 829.02/x
  3. Step 3: Cross multiply
    1,869.30x = 2,803.86 × 829.02
  4. Step 4: Simplify right side
    1,869.30x = 2,324,456.02
  5. Step 5: Solve for x
    x = 2,324,456.02/1,869.30
  6. Step 6: Final answer
    x = 1,243.49

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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.