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Finding the Fourth Proportional to 2,619.48, 3,929.80 and 976.16

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Solution

The fourth proportional to 2,619.48, 3,929.80 and 976.16 is: 1,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.48 : 3,929.80 = 976.16 : x
  2. Step 2: Convert to fraction form
    2,619.48/3,929.80 = 976.16/x
  3. Step 3: Cross multiply
    2,619.48x = 3,929.80 × 976.16
  4. Step 4: Simplify right side
    2,619.48x = 3,836,113.57
  5. Step 5: Solve for x
    x = 3,836,113.57/2,619.48
  6. Step 6: Final answer
    x = 1,464.46

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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.