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Finding the Fourth Proportional to 5,284.77, 7,929.30 and 1,998.81

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Solution

The fourth proportional to 5,284.77, 7,929.30 and 1,998.81 is: 2,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.77 : 7,929.30 = 1,998.81 : x
  2. Step 2: Convert to fraction form
    5,284.77/7,929.30 = 1,998.81/x
  3. Step 3: Cross multiply
    5,284.77x = 7,929.30 × 1,998.81
  4. Step 4: Simplify right side
    5,284.77x = 15,849,164.13
  5. Step 5: Solve for x
    x = 15,849,164.13/5,284.77
  6. Step 6: Final answer
    x = 2,999.03

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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.