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Finding the Fourth Proportional to 5,259.84, 7,889.78 and 1,364.28

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Solution

The fourth proportional to 5,259.84, 7,889.78 and 1,364.28 is: 2,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.84 : 7,889.78 = 1,364.28 : x
  2. Step 2: Convert to fraction form
    5,259.84/7,889.78 = 1,364.28/x
  3. Step 3: Cross multiply
    5,259.84x = 7,889.78 × 1,364.28
  4. Step 4: Simplify right side
    5,259.84x = 10,763,869.06
  5. Step 5: Solve for x
    x = 10,763,869.06/5,259.84
  6. Step 6: Final answer
    x = 2,046.43

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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.