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Finding the Fourth Proportional to 5,235.72, 7,819.14 and 4,197.30

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Solution

The fourth proportional to 5,235.72, 7,819.14 and 4,197.30 is: 6,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.72 : 7,819.14 = 4,197.30 : x
  2. Step 2: Convert to fraction form
    5,235.72/7,819.14 = 4,197.30/x
  3. Step 3: Cross multiply
    5,235.72x = 7,819.14 × 4,197.30
  4. Step 4: Simplify right side
    5,235.72x = 32,819,276.32
  5. Step 5: Solve for x
    x = 32,819,276.32/5,235.72
  6. Step 6: Final answer
    x = 6,268.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.