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Finding the Fourth Proportional to 3,482.64, 5,223.96 and 1,290.78

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Solution

The fourth proportional to 3,482.64, 5,223.96 and 1,290.78 is: 1,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,223.96 = 1,290.78 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,223.96 = 1,290.78/x
  3. Step 3: Cross multiply
    3,482.64x = 5,223.96 × 1,290.78
  4. Step 4: Simplify right side
    3,482.64x = 6,742,983.09
  5. Step 5: Solve for x
    x = 6,742,983.09/3,482.64
  6. Step 6: Final answer
    x = 1,936.17

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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.