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Finding the Fourth Proportional to 6,812.59, 10,219.47 and 2,428.96

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Solution

The fourth proportional to 6,812.59, 10,219.47 and 2,428.96 is: 3,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.59 : 10,219.47 = 2,428.96 : x
  2. Step 2: Convert to fraction form
    6,812.59/10,219.47 = 2,428.96/x
  3. Step 3: Cross multiply
    6,812.59x = 10,219.47 × 2,428.96
  4. Step 4: Simplify right side
    6,812.59x = 24,822,683.85
  5. Step 5: Solve for x
    x = 24,822,683.85/6,812.59
  6. Step 6: Final answer
    x = 3,643.65

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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.