Home / 3,827.20-5,740.80-1,637.50

Finding the Fourth Proportional to 3,827.20, 5,740.80 and 1,637.50

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Solution

The fourth proportional to 3,827.20, 5,740.80 and 1,637.50 is: 2,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.20 : 5,740.80 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    3,827.20/5,740.80 = 1,637.50/x
  3. Step 3: Cross multiply
    3,827.20x = 5,740.80 × 1,637.50
  4. Step 4: Simplify right side
    3,827.20x = 9,400,560
  5. Step 5: Solve for x
    x = 9,400,560/3,827.20
  6. Step 6: Final answer
    x = 2,456.25

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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.