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Finding the Fourth Proportional to 4,990.50, 7,486.16 and 1,658.05

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Solution

The fourth proportional to 4,990.50, 7,486.16 and 1,658.05 is: 2,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.50 : 7,486.16 = 1,658.05 : x
  2. Step 2: Convert to fraction form
    4,990.50/7,486.16 = 1,658.05/x
  3. Step 3: Cross multiply
    4,990.50x = 7,486.16 × 1,658.05
  4. Step 4: Simplify right side
    4,990.50x = 12,412,400.58
  5. Step 5: Solve for x
    x = 12,412,400.58/4,990.50
  6. Step 6: Final answer
    x = 2,487.21

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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.