Home / 2,049.84-2,828.04-1,577.88

Finding the Fourth Proportional to 2,049.84, 2,828.04 and 1,577.88

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Solution

The fourth proportional to 2,049.84, 2,828.04 and 1,577.88 is: 2,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 2,828.04 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    2,049.84/2,828.04 = 1,577.88/x
  3. Step 3: Cross multiply
    2,049.84x = 2,828.04 × 1,577.88
  4. Step 4: Simplify right side
    2,049.84x = 4,462,307.76
  5. Step 5: Solve for x
    x = 4,462,307.76/2,049.84
  6. Step 6: Final answer
    x = 2,176.91

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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.