Home / 1,484.83-2,049.07-821.73

Finding the Fourth Proportional to 1,484.83, 2,049.07 and 821.73

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Solution

The fourth proportional to 1,484.83, 2,049.07 and 821.73 is: 1,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.83 : 2,049.07 = 821.73 : x
  2. Step 2: Convert to fraction form
    1,484.83/2,049.07 = 821.73/x
  3. Step 3: Cross multiply
    1,484.83x = 2,049.07 × 821.73
  4. Step 4: Simplify right side
    1,484.83x = 1,683,784.35
  5. Step 5: Solve for x
    x = 1,683,784.35/1,484.83
  6. Step 6: Final answer
    x = 1,133.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.