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Finding the Fourth Proportional to 2,628.89, 3,934.07 and 1,642.16

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Solution

The fourth proportional to 2,628.89, 3,934.07 and 1,642.16 is: 2,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.89 : 3,934.07 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    2,628.89/3,934.07 = 1,642.16/x
  3. Step 3: Cross multiply
    2,628.89x = 3,934.07 × 1,642.16
  4. Step 4: Simplify right side
    2,628.89x = 6,460,390.63
  5. Step 5: Solve for x
    x = 6,460,390.63/2,628.89
  6. Step 6: Final answer
    x = 2,457.46

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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.