Home / 5,042.75-7,564.13-1,580

Finding the Fourth Proportional to 5,042.75, 7,564.13 and 1,580

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Solution

The fourth proportional to 5,042.75, 7,564.13 and 1,580 is: 2,370

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.75 : 7,564.13 = 1,580 : x
  2. Step 2: Convert to fraction form
    5,042.75/7,564.13 = 1,580/x
  3. Step 3: Cross multiply
    5,042.75x = 7,564.13 × 1,580
  4. Step 4: Simplify right side
    5,042.75x = 11,951,317.50
  5. Step 5: Solve for x
    x = 11,951,317.50/5,042.75
  6. Step 6: Final answer
    x = 2,370

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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.