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Finding the Fourth Proportional to 5,200.53, 7,160.10 and 4,209.09

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Solution

The fourth proportional to 5,200.53, 7,160.10 and 4,209.09 is: 5,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.53 : 7,160.10 = 4,209.09 : x
  2. Step 2: Convert to fraction form
    5,200.53/7,160.10 = 4,209.09/x
  3. Step 3: Cross multiply
    5,200.53x = 7,160.10 × 4,209.09
  4. Step 4: Simplify right side
    5,200.53x = 30,137,505.31
  5. Step 5: Solve for x
    x = 30,137,505.31/5,200.53
  6. Step 6: Final answer
    x = 5,795.08

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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.