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Finding the Fourth Proportional to 3,749.40, 5,623.61 and 976.28

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Solution

The fourth proportional to 3,749.40, 5,623.61 and 976.28 is: 1,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.40 : 5,623.61 = 976.28 : x
  2. Step 2: Convert to fraction form
    3,749.40/5,623.61 = 976.28/x
  3. Step 3: Cross multiply
    3,749.40x = 5,623.61 × 976.28
  4. Step 4: Simplify right side
    3,749.40x = 5,490,184.97
  5. Step 5: Solve for x
    x = 5,490,184.97/3,749.40
  6. Step 6: Final answer
    x = 1,464.28

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1.5x scale

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.