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Finding the Fourth Proportional to 7,800.54, 11,701.97 and 2,869.80

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Solution

The fourth proportional to 7,800.54, 11,701.97 and 2,869.80 is: 4,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.54 : 11,701.97 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    7,800.54/11,701.97 = 2,869.80/x
  3. Step 3: Cross multiply
    7,800.54x = 11,701.97 × 2,869.80
  4. Step 4: Simplify right side
    7,800.54x = 33,582,313.51
  5. Step 5: Solve for x
    x = 33,582,313.51/7,800.54
  6. Step 6: Final answer
    x = 4,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.