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Finding the Fourth Proportional to 5,208.35, 7,809.04 and 2,869.47

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Solution

The fourth proportional to 5,208.35, 7,809.04 and 2,869.47 is: 4,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.35 : 7,809.04 = 2,869.47 : x
  2. Step 2: Convert to fraction form
    5,208.35/7,809.04 = 2,869.47/x
  3. Step 3: Cross multiply
    5,208.35x = 7,809.04 × 2,869.47
  4. Step 4: Simplify right side
    5,208.35x = 22,407,798.84
  5. Step 5: Solve for x
    x = 22,407,798.84/5,208.35
  6. Step 6: Final answer
    x = 4,302.29

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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.