Home / 5,120.16-7,680-1,610.08

Finding the Fourth Proportional to 5,120.16, 7,680 and 1,610.08

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Solution

The fourth proportional to 5,120.16, 7,680 and 1,610.08 is: 2,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.16 : 7,680 = 1,610.08 : x
  2. Step 2: Convert to fraction form
    5,120.16/7,680 = 1,610.08/x
  3. Step 3: Cross multiply
    5,120.16x = 7,680 × 1,610.08
  4. Step 4: Simplify right side
    5,120.16x = 12,365,414.40
  5. Step 5: Solve for x
    x = 12,365,414.40/5,120.16
  6. Step 6: Final answer
    x = 2,415.04

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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.