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Finding the Fourth Proportional to 5,291.84, 7,933.41 and 2,656.16

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Solution

The fourth proportional to 5,291.84, 7,933.41 and 2,656.16 is: 3,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.84 : 7,933.41 = 2,656.16 : x
  2. Step 2: Convert to fraction form
    5,291.84/7,933.41 = 2,656.16/x
  3. Step 3: Cross multiply
    5,291.84x = 7,933.41 × 2,656.16
  4. Step 4: Simplify right side
    5,291.84x = 21,072,366.64
  5. Step 5: Solve for x
    x = 21,072,366.64/5,291.84
  6. Step 6: Final answer
    x = 3,982.05

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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.