Home / 1,484.09-2,047.99-820.84

Finding the Fourth Proportional to 1,484.09, 2,047.99 and 820.84

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Solution

The fourth proportional to 1,484.09, 2,047.99 and 820.84 is: 1,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.09 : 2,047.99 = 820.84 : x
  2. Step 2: Convert to fraction form
    1,484.09/2,047.99 = 820.84/x
  3. Step 3: Cross multiply
    1,484.09x = 2,047.99 × 820.84
  4. Step 4: Simplify right side
    1,484.09x = 1,681,057.77
  5. Step 5: Solve for x
    x = 1,681,057.77/1,484.09
  6. Step 6: Final answer
    x = 1,132.72

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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.