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Finding the Fourth Proportional to 7,810.76, 10,778.81 and 4,273.97

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Solution

The fourth proportional to 7,810.76, 10,778.81 and 4,273.97 is: 5,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.76 : 10,778.81 = 4,273.97 : x
  2. Step 2: Convert to fraction form
    7,810.76/10,778.81 = 4,273.97/x
  3. Step 3: Cross multiply
    7,810.76x = 10,778.81 × 4,273.97
  4. Step 4: Simplify right side
    7,810.76x = 46,068,235.31
  5. Step 5: Solve for x
    x = 46,068,235.31/7,810.76
  6. Step 6: Final answer
    x = 5,898.05

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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.