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Finding the Fourth Proportional to 4,542, 6,813 and 1,807.92

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Solution

The fourth proportional to 4,542, 6,813 and 1,807.92 is: 2,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542 : 6,813 = 1,807.92 : x
  2. Step 2: Convert to fraction form
    4,542/6,813 = 1,807.92/x
  3. Step 3: Cross multiply
    4,542x = 6,813 × 1,807.92
  4. Step 4: Simplify right side
    4,542x = 12,317,358.96
  5. Step 5: Solve for x
    x = 12,317,358.96/4,542
  6. Step 6: Final answer
    x = 2,711.88

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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.