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Finding the Fourth Proportional to 4,900.09, 7,350.60 and 1,613.50

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Solution

The fourth proportional to 4,900.09, 7,350.60 and 1,613.50 is: 2,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.09 : 7,350.60 = 1,613.50 : x
  2. Step 2: Convert to fraction form
    4,900.09/7,350.60 = 1,613.50/x
  3. Step 3: Cross multiply
    4,900.09x = 7,350.60 × 1,613.50
  4. Step 4: Simplify right side
    4,900.09x = 11,860,193.10
  5. Step 5: Solve for x
    x = 11,860,193.10/4,900.09
  6. Step 6: Final answer
    x = 2,420.40

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1.5x scale

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.