Home / 3,614-5,421.28-2,053.40

Finding the Fourth Proportional to 3,614, 5,421.28 and 2,053.40

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Solution

The fourth proportional to 3,614, 5,421.28 and 2,053.40 is: 3,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 5,421.28 = 2,053.40 : x
  2. Step 2: Convert to fraction form
    3,614/5,421.28 = 2,053.40/x
  3. Step 3: Cross multiply
    3,614x = 5,421.28 × 2,053.40
  4. Step 4: Simplify right side
    3,614x = 11,132,056.35
  5. Step 5: Solve for x
    x = 11,132,056.35/3,614
  6. Step 6: Final answer
    x = 3,080.26

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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.