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Finding the Fourth Proportional to 2,469.20, 3,703.16 and 988.36

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Solution

The fourth proportional to 2,469.20, 3,703.16 and 988.36 is: 1,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.20 : 3,703.16 = 988.36 : x
  2. Step 2: Convert to fraction form
    2,469.20/3,703.16 = 988.36/x
  3. Step 3: Cross multiply
    2,469.20x = 3,703.16 × 988.36
  4. Step 4: Simplify right side
    2,469.20x = 3,660,055.22
  5. Step 5: Solve for x
    x = 3,660,055.22/2,469.20
  6. Step 6: Final answer
    x = 1,482.28

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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.