Home / 4,717.16-7,071.42-1,637

Finding the Fourth Proportional to 4,717.16, 7,071.42 and 1,637

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Solution

The fourth proportional to 4,717.16, 7,071.42 and 1,637 is: 2,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.16 : 7,071.42 = 1,637 : x
  2. Step 2: Convert to fraction form
    4,717.16/7,071.42 = 1,637/x
  3. Step 3: Cross multiply
    4,717.16x = 7,071.42 × 1,637
  4. Step 4: Simplify right side
    4,717.16x = 11,575,914.54
  5. Step 5: Solve for x
    x = 11,575,914.54/4,717.16
  6. Step 6: Final answer
    x = 2,454.00

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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.