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Finding the Fourth Proportional to 6,812.40, 10,220.40 and 2,429.40

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Solution

The fourth proportional to 6,812.40, 10,220.40 and 2,429.40 is: 3,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.40 : 10,220.40 = 2,429.40 : x
  2. Step 2: Convert to fraction form
    6,812.40/10,220.40 = 2,429.40/x
  3. Step 3: Cross multiply
    6,812.40x = 10,220.40 × 2,429.40
  4. Step 4: Simplify right side
    6,812.40x = 24,829,439.76
  5. Step 5: Solve for x
    x = 24,829,439.76/6,812.40
  6. Step 6: Final answer
    x = 3,644.74

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1.5x scale

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.