Home / 5,120.13-7,680.17-1,610.40

Finding the Fourth Proportional to 5,120.13, 7,680.17 and 1,610.40

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Solution

The fourth proportional to 5,120.13, 7,680.17 and 1,610.40 is: 2,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.13 : 7,680.17 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    5,120.13/7,680.17 = 1,610.40/x
  3. Step 3: Cross multiply
    5,120.13x = 7,680.17 × 1,610.40
  4. Step 4: Simplify right side
    5,120.13x = 12,368,145.77
  5. Step 5: Solve for x
    x = 12,368,145.77/5,120.13
  6. Step 6: Final answer
    x = 2,415.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.