Home / 5,114.16-7,670.31-1,415.46

Finding the Fourth Proportional to 5,114.16, 7,670.31 and 1,415.46

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Solution

The fourth proportional to 5,114.16, 7,670.31 and 1,415.46 is: 2,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.16 : 7,670.31 = 1,415.46 : x
  2. Step 2: Convert to fraction form
    5,114.16/7,670.31 = 1,415.46/x
  3. Step 3: Cross multiply
    5,114.16x = 7,670.31 × 1,415.46
  4. Step 4: Simplify right side
    5,114.16x = 10,857,016.99
  5. Step 5: Solve for x
    x = 10,857,016.99/5,114.16
  6. Step 6: Final answer
    x = 2,122.93

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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.