Home / 3,827.31-5,740-1,053.84

Finding the Fourth Proportional to 3,827.31, 5,740 and 1,053.84

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Solution

The fourth proportional to 3,827.31, 5,740 and 1,053.84 is: 1,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.31 : 5,740 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    3,827.31/5,740 = 1,053.84/x
  3. Step 3: Cross multiply
    3,827.31x = 5,740 × 1,053.84
  4. Step 4: Simplify right side
    3,827.31x = 6,049,041.60
  5. Step 5: Solve for x
    x = 6,049,041.60/3,827.31
  6. Step 6: Final answer
    x = 1,580.49

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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.