Home / 5,175-7,763.72-1,712.25

Finding the Fourth Proportional to 5,175, 7,763.72 and 1,712.25

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Solution

The fourth proportional to 5,175, 7,763.72 and 1,712.25 is: 2,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175 : 7,763.72 = 1,712.25 : x
  2. Step 2: Convert to fraction form
    5,175/7,763.72 = 1,712.25/x
  3. Step 3: Cross multiply
    5,175x = 7,763.72 × 1,712.25
  4. Step 4: Simplify right side
    5,175x = 13,293,421.01
  5. Step 5: Solve for x
    x = 13,293,421.01/5,175
  6. Step 6: Final answer
    x = 2,568.78

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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.