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Finding the Fourth Proportional to 5,238.84, 7,859.16 and 1,775.28

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Solution

The fourth proportional to 5,238.84, 7,859.16 and 1,775.28 is: 2,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.84 : 7,859.16 = 1,775.28 : x
  2. Step 2: Convert to fraction form
    5,238.84/7,859.16 = 1,775.28/x
  3. Step 3: Cross multiply
    5,238.84x = 7,859.16 × 1,775.28
  4. Step 4: Simplify right side
    5,238.84x = 13,952,209.56
  5. Step 5: Solve for x
    x = 13,952,209.56/5,238.84
  6. Step 6: Final answer
    x = 2,663.22

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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.