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Finding the Fourth Proportional to 3,211.38, 4,818.08 and 1,977.08

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Solution

The fourth proportional to 3,211.38, 4,818.08 and 1,977.08 is: 2,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.38 : 4,818.08 = 1,977.08 : x
  2. Step 2: Convert to fraction form
    3,211.38/4,818.08 = 1,977.08/x
  3. Step 3: Cross multiply
    3,211.38x = 4,818.08 × 1,977.08
  4. Step 4: Simplify right side
    3,211.38x = 9,525,710.46
  5. Step 5: Solve for x
    x = 9,525,710.46/3,211.38
  6. Step 6: Final answer
    x = 2,966.24

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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.