Home / 4,021.40-6,031.02-1,424

Finding the Fourth Proportional to 4,021.40, 6,031.02 and 1,424

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Solution

The fourth proportional to 4,021.40, 6,031.02 and 1,424 is: 2,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.40 : 6,031.02 = 1,424 : x
  2. Step 2: Convert to fraction form
    4,021.40/6,031.02 = 1,424/x
  3. Step 3: Cross multiply
    4,021.40x = 6,031.02 × 1,424
  4. Step 4: Simplify right side
    4,021.40x = 8,588,172.48
  5. Step 5: Solve for x
    x = 8,588,172.48/4,021.40
  6. Step 6: Final answer
    x = 2,135.62

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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.