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Finding the Fourth Proportional to 4,200.70, 5,801.10 and 3,807.04

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Solution

The fourth proportional to 4,200.70, 5,801.10 and 3,807.04 is: 5,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.70 : 5,801.10 = 3,807.04 : x
  2. Step 2: Convert to fraction form
    4,200.70/5,801.10 = 3,807.04/x
  3. Step 3: Cross multiply
    4,200.70x = 5,801.10 × 3,807.04
  4. Step 4: Simplify right side
    4,200.70x = 22,085,019.74
  5. Step 5: Solve for x
    x = 22,085,019.74/4,200.70
  6. Step 6: Final answer
    x = 5,257.46

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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.