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Finding the Fourth Proportional to 3,421, 4,720.98 and 2,490.28

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Solution

The fourth proportional to 3,421, 4,720.98 and 2,490.28 is: 3,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421 : 4,720.98 = 2,490.28 : x
  2. Step 2: Convert to fraction form
    3,421/4,720.98 = 2,490.28/x
  3. Step 3: Cross multiply
    3,421x = 4,720.98 × 2,490.28
  4. Step 4: Simplify right side
    3,421x = 11,756,562.07
  5. Step 5: Solve for x
    x = 11,756,562.07/3,421
  6. Step 6: Final answer
    x = 3,436.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.