Home / 4,175-6,264.44-1,577.72

Finding the Fourth Proportional to 4,175, 6,264.44 and 1,577.72

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Solution

The fourth proportional to 4,175, 6,264.44 and 1,577.72 is: 2,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175 : 6,264.44 = 1,577.72 : x
  2. Step 2: Convert to fraction form
    4,175/6,264.44 = 1,577.72/x
  3. Step 3: Cross multiply
    4,175x = 6,264.44 × 1,577.72
  4. Step 4: Simplify right side
    4,175x = 9,883,532.28
  5. Step 5: Solve for x
    x = 9,883,532.28/4,175
  6. Step 6: Final answer
    x = 2,367.31

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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.