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Finding the Fourth Proportional to 4,416.80, 6,625.06 and 1,642.34

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Solution

The fourth proportional to 4,416.80, 6,625.06 and 1,642.34 is: 2,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.80 : 6,625.06 = 1,642.34 : x
  2. Step 2: Convert to fraction form
    4,416.80/6,625.06 = 1,642.34/x
  3. Step 3: Cross multiply
    4,416.80x = 6,625.06 × 1,642.34
  4. Step 4: Simplify right side
    4,416.80x = 10,880,613.50
  5. Step 5: Solve for x
    x = 10,880,613.50/4,416.80
  6. Step 6: Final answer
    x = 2,463.46

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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.