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Finding the Fourth Proportional to 2,988.78, 4,483.11 and 936.78

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Solution

The fourth proportional to 2,988.78, 4,483.11 and 936.78 is: 1,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.78 : 4,483.11 = 936.78 : x
  2. Step 2: Convert to fraction form
    2,988.78/4,483.11 = 936.78/x
  3. Step 3: Cross multiply
    2,988.78x = 4,483.11 × 936.78
  4. Step 4: Simplify right side
    2,988.78x = 4,199,687.79
  5. Step 5: Solve for x
    x = 4,199,687.79/2,988.78
  6. Step 6: Final answer
    x = 1,405.15

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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.