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Finding the Fourth Proportional to 2,743.82, 4,114.70 and 988.35

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Solution

The fourth proportional to 2,743.82, 4,114.70 and 988.35 is: 1,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.82 : 4,114.70 = 988.35 : x
  2. Step 2: Convert to fraction form
    2,743.82/4,114.70 = 988.35/x
  3. Step 3: Cross multiply
    2,743.82x = 4,114.70 × 988.35
  4. Step 4: Simplify right side
    2,743.82x = 4,066,763.75
  5. Step 5: Solve for x
    x = 4,066,763.75/2,743.82
  6. Step 6: Final answer
    x = 1,482.15

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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.