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Finding the Fourth Proportional to 4,716.58, 7,074.79 and 1,638.50

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Solution

The fourth proportional to 4,716.58, 7,074.79 and 1,638.50 is: 2,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.58 : 7,074.79 = 1,638.50 : x
  2. Step 2: Convert to fraction form
    4,716.58/7,074.79 = 1,638.50/x
  3. Step 3: Cross multiply
    4,716.58x = 7,074.79 × 1,638.50
  4. Step 4: Simplify right side
    4,716.58x = 11,592,043.42
  5. Step 5: Solve for x
    x = 11,592,043.42/4,716.58
  6. Step 6: Final answer
    x = 2,457.72

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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.