Home / 3,102.24-4,281.12-1,705

Finding the Fourth Proportional to 3,102.24, 4,281.12 and 1,705

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Solution

The fourth proportional to 3,102.24, 4,281.12 and 1,705 is: 2,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.24 : 4,281.12 = 1,705 : x
  2. Step 2: Convert to fraction form
    3,102.24/4,281.12 = 1,705/x
  3. Step 3: Cross multiply
    3,102.24x = 4,281.12 × 1,705
  4. Step 4: Simplify right side
    3,102.24x = 7,299,309.60
  5. Step 5: Solve for x
    x = 7,299,309.60/3,102.24
  6. Step 6: Final answer
    x = 2,352.92

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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.