Home / 2,064-2,848.28-1,179.76

Finding the Fourth Proportional to 2,064, 2,848.28 and 1,179.76

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Solution

The fourth proportional to 2,064, 2,848.28 and 1,179.76 is: 1,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 2,848.28 = 1,179.76 : x
  2. Step 2: Convert to fraction form
    2,064/2,848.28 = 1,179.76/x
  3. Step 3: Cross multiply
    2,064x = 2,848.28 × 1,179.76
  4. Step 4: Simplify right side
    2,064x = 3,360,286.81
  5. Step 5: Solve for x
    x = 3,360,286.81/2,064
  6. Step 6: Final answer
    x = 1,628.05

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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.