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Finding the Fourth Proportional to 7,078.72, 9,769.62 and 5,095.84

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Solution

The fourth proportional to 7,078.72, 9,769.62 and 5,095.84 is: 7,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.72 : 9,769.62 = 5,095.84 : x
  2. Step 2: Convert to fraction form
    7,078.72/9,769.62 = 5,095.84/x
  3. Step 3: Cross multiply
    7,078.72x = 9,769.62 × 5,095.84
  4. Step 4: Simplify right side
    7,078.72x = 49,784,420.38
  5. Step 5: Solve for x
    x = 49,784,420.38/7,078.72
  6. Step 6: Final answer
    x = 7,032.97

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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.