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Finding the Fourth Proportional to 2,362.68, 3,544.50 and 976.14

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Solution

The fourth proportional to 2,362.68, 3,544.50 and 976.14 is: 1,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.68 : 3,544.50 = 976.14 : x
  2. Step 2: Convert to fraction form
    2,362.68/3,544.50 = 976.14/x
  3. Step 3: Cross multiply
    2,362.68x = 3,544.50 × 976.14
  4. Step 4: Simplify right side
    2,362.68x = 3,459,928.23
  5. Step 5: Solve for x
    x = 3,459,928.23/2,362.68
  6. Step 6: Final answer
    x = 1,464.41

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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.