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Finding the Fourth Proportional to 4,535.78, 6,792 and 2,688.21

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Solution

The fourth proportional to 4,535.78, 6,792 and 2,688.21 is: 4,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.78 : 6,792 = 2,688.21 : x
  2. Step 2: Convert to fraction form
    4,535.78/6,792 = 2,688.21/x
  3. Step 3: Cross multiply
    4,535.78x = 6,792 × 2,688.21
  4. Step 4: Simplify right side
    4,535.78x = 18,258,322.32
  5. Step 5: Solve for x
    x = 18,258,322.32/4,535.78
  6. Step 6: Final answer
    x = 4,025.40

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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.