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Finding the Fourth Proportional to 5,074.68, 6,990.30 and 4,235.12

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Solution

The fourth proportional to 5,074.68, 6,990.30 and 4,235.12 is: 5,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.68 : 6,990.30 = 4,235.12 : x
  2. Step 2: Convert to fraction form
    5,074.68/6,990.30 = 4,235.12/x
  3. Step 3: Cross multiply
    5,074.68x = 6,990.30 × 4,235.12
  4. Step 4: Simplify right side
    5,074.68x = 29,604,724.38
  5. Step 5: Solve for x
    x = 29,604,724.38/5,074.68
  6. Step 6: Final answer
    x = 5,833.81

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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.