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Finding the Fourth Proportional to 5,585.75, 7,714.82 and 3,719.51

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Solution

The fourth proportional to 5,585.75, 7,714.82 and 3,719.51 is: 5,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.75 : 7,714.82 = 3,719.51 : x
  2. Step 2: Convert to fraction form
    5,585.75/7,714.82 = 3,719.51/x
  3. Step 3: Cross multiply
    5,585.75x = 7,714.82 × 3,719.51
  4. Step 4: Simplify right side
    5,585.75x = 28,695,331.54
  5. Step 5: Solve for x
    x = 28,695,331.54/5,585.75
  6. Step 6: Final answer
    x = 5,137.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.