Home / 4,962-7,446.51-2,365.14

Finding the Fourth Proportional to 4,962, 7,446.51 and 2,365.14

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Solution

The fourth proportional to 4,962, 7,446.51 and 2,365.14 is: 3,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962 : 7,446.51 = 2,365.14 : x
  2. Step 2: Convert to fraction form
    4,962/7,446.51 = 2,365.14/x
  3. Step 3: Cross multiply
    4,962x = 7,446.51 × 2,365.14
  4. Step 4: Simplify right side
    4,962x = 17,612,038.66
  5. Step 5: Solve for x
    x = 17,612,038.66/4,962
  6. Step 6: Final answer
    x = 3,549.38

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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.