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Finding the Fourth Proportional to 5,673.10, 7,822.54 and 3,880.87

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Solution

The fourth proportional to 5,673.10, 7,822.54 and 3,880.87 is: 5,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.10 : 7,822.54 = 3,880.87 : x
  2. Step 2: Convert to fraction form
    5,673.10/7,822.54 = 3,880.87/x
  3. Step 3: Cross multiply
    5,673.10x = 7,822.54 × 3,880.87
  4. Step 4: Simplify right side
    5,673.10x = 30,358,260.81
  5. Step 5: Solve for x
    x = 30,358,260.81/5,673.10
  6. Step 6: Final answer
    x = 5,351.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.