Home / 5,102.57-7,653.89-1,405.19

Finding the Fourth Proportional to 5,102.57, 7,653.89 and 1,405.19

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Solution

The fourth proportional to 5,102.57, 7,653.89 and 1,405.19 is: 2,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.57 : 7,653.89 = 1,405.19 : x
  2. Step 2: Convert to fraction form
    5,102.57/7,653.89 = 1,405.19/x
  3. Step 3: Cross multiply
    5,102.57x = 7,653.89 × 1,405.19
  4. Step 4: Simplify right side
    5,102.57x = 10,755,192.34
  5. Step 5: Solve for x
    x = 10,755,192.34/5,102.57
  6. Step 6: Final answer
    x = 2,107.80

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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.