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Finding the Fourth Proportional to 7,830.73, 10,807.19 and 4,474.09

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Solution

The fourth proportional to 7,830.73, 10,807.19 and 4,474.09 is: 6,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.73 : 10,807.19 = 4,474.09 : x
  2. Step 2: Convert to fraction form
    7,830.73/10,807.19 = 4,474.09/x
  3. Step 3: Cross multiply
    7,830.73x = 10,807.19 × 4,474.09
  4. Step 4: Simplify right side
    7,830.73x = 48,352,340.71
  5. Step 5: Solve for x
    x = 48,352,340.71/7,830.73
  6. Step 6: Final answer
    x = 6,174.69

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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.