Home / 1,478.80-2,041.60-982.12

Finding the Fourth Proportional to 1,478.80, 2,041.60 and 982.12

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Solution

The fourth proportional to 1,478.80, 2,041.60 and 982.12 is: 1,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.80 : 2,041.60 = 982.12 : x
  2. Step 2: Convert to fraction form
    1,478.80/2,041.60 = 982.12/x
  3. Step 3: Cross multiply
    1,478.80x = 2,041.60 × 982.12
  4. Step 4: Simplify right side
    1,478.80x = 2,005,096.19
  5. Step 5: Solve for x
    x = 2,005,096.19/1,478.80
  6. Step 6: Final answer
    x = 1,355.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.