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Finding the Fourth Proportional to 4,200.42, 5,772.24 and 4,007.70

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Solution

The fourth proportional to 4,200.42, 5,772.24 and 4,007.70 is: 5,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.42 : 5,772.24 = 4,007.70 : x
  2. Step 2: Convert to fraction form
    4,200.42/5,772.24 = 4,007.70/x
  3. Step 3: Cross multiply
    4,200.42x = 5,772.24 × 4,007.70
  4. Step 4: Simplify right side
    4,200.42x = 23,133,406.25
  5. Step 5: Solve for x
    x = 23,133,406.25/4,200.42
  6. Step 6: Final answer
    x = 5,507.40

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.