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Finding the Fourth Proportional to 2,429.70, 3,411.30 and 2,429.70

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Solution

The fourth proportional to 2,429.70, 3,411.30 and 2,429.70 is: 3,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.70 : 3,411.30 = 2,429.70 : x
  2. Step 2: Convert to fraction form
    2,429.70/3,411.30 = 2,429.70/x
  3. Step 3: Cross multiply
    2,429.70x = 3,411.30 × 2,429.70
  4. Step 4: Simplify right side
    2,429.70x = 8,288,435.61
  5. Step 5: Solve for x
    x = 8,288,435.61/2,429.70
  6. Step 6: Final answer
    x = 3,411.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.