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Finding the Fourth Proportional to 4,902.81, 7,352.19 and 1,980.33

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Solution

The fourth proportional to 4,902.81, 7,352.19 and 1,980.33 is: 2,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.81 : 7,352.19 = 1,980.33 : x
  2. Step 2: Convert to fraction form
    4,902.81/7,352.19 = 1,980.33/x
  3. Step 3: Cross multiply
    4,902.81x = 7,352.19 × 1,980.33
  4. Step 4: Simplify right side
    4,902.81x = 14,559,762.42
  5. Step 5: Solve for x
    x = 14,559,762.42/4,902.81
  6. Step 6: Final answer
    x = 2,969.68

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Double scale
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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.